Properties of the Number 2514

Two Thousand Five Hundred Fourteen

Basics

Value: 2513 → 2514 → 2515

Parity: even

Prime: No

Previous Prime: 2503

Next Prime: 2521

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 419

Divisors: 1, 2, 3, 6, 419, 838, 1257, 2514

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111010010

Octal: 4722

Duodecimal: 1556

Hexadecimal: 9d2

Square: 6320196

Square Root: 50.1398045468867

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

G.f.: ∏_k>=1 (1 + 2·x^k). A32302

Number of integer partitions of n without choosable initial intervals. A387118

Number of times prime(n) occurs as the least prime factor among numbers 1 .. prime(n)³: a(n) = A078898(A030078(n)). A250474

a(n) = n² + 14. A114962

a(1)=1, a(2)=2, for n > 2 if a(n-1) is prime, then a(n) = 2·a(n-1), otherwise a(n) = a(n-1) - 1. A116533

Numbers k such that numerator of Bernoulli(2·k) is divisible by 257, the tenth irregular prime. A92229

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 0 1 0 vertically. A207774

Numbers k such that 3 divides ∑_j=1..k binomial(2·j,j). A83096

Expansion of φ(q) / φ(q³) in powers of q where φ() is a Ramanujan θ function. A139137

Number of permutations of the multiset {1,1,2,2,3,3,...,n+1,n+1} avoiding the permutation patterns {132, 231, 2134}. A181510