Properties of the Number 2505

Two Thousand Five Hundred Five

Basics

Value: 2504 → 2505 → 2506

Parity: odd

Prime: No

Previous Prime: 2503

Next Prime: 2521

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 167

Divisors: 1, 3, 5, 15, 167, 501, 835, 2505

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111001001

Octal: 4711

Duodecimal: 1549

Hexadecimal: 9c9

Square: 6275025

Square Root: 50.049975024968795

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: Yes

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of partitions of n in which no parts are multiples of 5. A35959

Generalized 23-gonal (or icositrigonal) numbers: m*(21·m - 19)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303303

Number of partitions of n into distinct double-free parts. A120641

(24n - 1)p(n): traces of partition class polynomials, with a(0) = -1. A183011

Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 6 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=3·floor(n/2), read by rows. A238550

Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 7 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=3·floor(n/2), read by rows. A238555

Values of n such that L(11) and N(11) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227449

Numbers k such that 11·k+1 is a square. A219257

a(n)=A089551(n)/2. A89558

Number of integer partitions of n > 0 where the minimum part equals the number of parts minus the number of distinct parts. A324520