Properties of the Number 82656

Eighty-Two Thousand Six Hundred Fifty-Six

Basics

Value: 82655 → 82656 → 82657

Parity: even

Prime: No

Previous Prime: 82651

Next Prime: 82657

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 7 × 41

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001011100000

Octal: 241340

Duodecimal: 3BA00

Hexadecimal: 142e0

Square: 6832014336

Square Root: 287.4995652170625

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

Kaprekar numbers: positive numbers n such that n = q+r and n² = q·10^m+r, for some m >= 1, q >= 0 and 0 <= r < 10^m, with n ≠ 10^a, a >= 1. A6886

Number of colorings of labeled graphs on n nodes using exactly 2 colors, divided by 4. A683

Another version of the Kaprekar numbers (A006886): n such that n = q+r and n² = q·10^m+r, for some m >= 1, q >= 0 and 0 <= r < 10^m, with n ≠ 10^a, a >= 1 and n an m-digit number. A53816

Kaprekar numbers: numbers k such that k = q + r and k² = q·10^m + r, for some m >= 1, q >= 0 and 0 <= r < 10^m. Here q and r must both have the same number of digits. A45913

The full list of 5-Kaprekar numbers. A53396

T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281540

Triangle T(n,k) = C_n(k)/2^k*(k-1/2) where C_n(k) = number of k-colored labeled graphs with n nodes (n >= 1, 1 <= k <= n). A58875

Expansion of elliptic_K / elliptic_E in powers of q. A261976

Kaprekar numbers, allowing powers of 10: n such that n=q+r and n²=q·10^m+r, for some m >= 1, q>=0 and 0<=r<10^m. A248353

Oblong numbers that are products of smaller oblong numbers. A374374