Properties of the Number 12579

Twelve Thousand Five Hundred Seventy-Nine

Basics

Value: 12578 → 12579 → 12580

Parity: odd

Prime: No

Previous Prime: 12577

Next Prime: 12583

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 599

Divisors: 1, 3, 7, 21, 599, 1797, 4193, 12579

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000100100011

Octal: 30443

Duodecimal: 7343

Hexadecimal: 3123

Square: 158231241

Square Root: 112.15614116043757

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Weak Goodstein sequence starting at 11. A137411

Sum over all partitions of n of the number of distinct parts i of multiplicity i+1. A276434

Expansion of q^-1 * f(-q², -q⁵)² * f(-q³, -q⁴) / f(-q¹, -q⁶)³ in powers of q where f() is Ramanujan's two-variable θ function. A108481

Numbers n such that n⁶ + 272 is prime. A161998

a(1) = 1; then the smallest number such that both the forward and reverse n-th partial concatenation is a prime for n > 1. A83992

Integers k such that nextprime(k⁵) - prevprime(k⁵) = 4. A90123

G.f.: exp( ∑_n>=1 A174462(n)*xⁿ/n ) where A174462(n) = ∑_d∣n C(n,d)². A174461

Least number having n orderless representations as p² + q² + r², where p, q, and r are primes. A214512

a(n) = ∑_{k=0..floor(n/5)} C(n-4k,k+1). A99559

a(n) is the first positive number that has exactly n anagrams which have 3 prime divisors, counted by multiplicity, or 0 if there is no such number. A369184