In mathematics, a colossally abundant number (sometimes abbreviated as CA) is a natural number that, in a particular rigorous sense, has many divisors. Formally, a number n is colossally abundant if and only if there is an ε > 0 such that for all k > 1,
where σ denotes the sum-of-divisors function. The first few colossally abundant numbers are 2, 6, 12, 60, 120, 360, 2520, 5040, ... (sequence A004490 in OEIS); all colossally abundant numbers are also superabundant numbers, but the converse is not true.
Read more about Colossally Abundant Number: History, Properties, Relation To The Riemann Hypothesis
Other articles related to "number, abundant, colossally abundant number":
... Calcium is the chemical element with symbol Ca and atomic number 20 ... is a soft gray alkaline earth metal, and is the fifth-most-abundant element by mass in the Earth's crust ... Calcium is also the fifth-most-abundant dissolved ion in seawater by both molarity and mass, after sodium, chloride, magnesium, and sulfate ...
... Mittoni and Savadoi created an experiment where the same good was abundant in one condition but scarce in another ... involved a partner/competitor to create scarcity, while the abundant condition did not ... Results showed that more participants chose a good when it was scarce than when it was abundant, for two out of four sets of items (ballpoints, snacks, pencils, and key rings) ...
... that Robin's inequality, if it ever fails to hold, will fail for a colossally abundant number n, thus the Riemann hypothesis is in fact equivalent to Robin's inequality ...
... Common name (Korean name) Species (Authority) Preferred habitat Range Status Family Muridae Murids Striped Field Mouse (등줄쥐) Apodemus agrarius (Pallas, 1771) Widespread ... Throughout, including Jeju ...
... element with symbol Ca and atomic number 20 ... Calcium is a soft gray alkaline earth metal, and is the fifth-most-abundant element by mass in the Earth's crust ... Calcium is also the fifth-most-abundant dissolved ion in seawater by both molarity and mass, after sodium, chloride, magnesium, and sulfate ...
Famous quotes containing the words number and/or abundant:
“My idea is that the world outside—the so-called modern world—can only pervert and degrade the conceptions of the primitive instinct of art and feeling, and that our only chance is to accept the limited number of survivors—the one- in-a-thousand of born artists and poets—and to intensify the energy of feeling within that radiant centre.”
—Henry Brooks Adams (1838–1918)
“It was a flourishing tropic he required
For his refreshment, an abundant zone,
Prickly and obdurate, dense, harmonious,
Yet with a harmony not rarefied
Nor fined for the inhibited instruments
Of over-civil stops.”
—Wallace Stevens (1879–1955)