Properties of the Number 2506

Two Thousand Five Hundred Six

Basics

Value: 2505 → 2506 → 2507

Parity: even

Prime: No

Previous Prime: 2503

Next Prime: 2521

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 7 × 179

Divisors: 1, 2, 7, 14, 179, 358, 1253, 2506

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111001010

Octal: 4712

Duodecimal: 154A

Hexadecimal: 9ca

Square: 6280036

Square Root: 50.05996404313531

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 binary partitions: number of partitions of 2n into powers of 2. A123

Greatest number of multisets that can be obtained by choosing a divisor of each part of an integer partition of n. A370808

Generalized 26-gonal (or icosihexagonal) numbers: m*(12·m - 11) with m = 0, +1, -1, +2, -2, +3, -3, ... A316724

Number A(n,k) of n-length words w over a k-ary alphabet such that for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z; square array A(n,k), n>=0, k>=0, read by antidiagonals. A213276

a(n) = n² + 6. A114949

a(n) = (-n³ + 9n² - 5n + 3)/3. A161702

Generalized Stirling number triangle of first kind read by rows: T(n, k) = [x^k] ∏_m=1..n (x - m - r), with r = 5. A51338

T(n,k)=Number of length n 1..(k+1) arrays with every leading partial sum divisible by 2, 3, 5 or 7. A258631

Number of integer partitions of n such that (length) * (maximum) = 2n. A361853

Friedman numbers: can be written in a nontrivial way using their digits and the operations + - * / ^ and concatenation of digits (but not of results). A36057