Properties of the Number 12638

Twelve Thousand Six Hundred Thirty-Eight

Basics

Value: 12637 → 12638 → 12639

Parity: even

Prime: No

Previous Prime: 12637

Next Prime: 12641

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 71 × 89

Divisors: 1, 2, 71, 89, 142, 178, 6319, 12638

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000101011110

Octal: 30536

Duodecimal: 7392

Hexadecimal: 315e

Square: 159719044

Square Root: 112.41885962773328

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

Least positive k such that k * [RSA-640]ⁿ - 1 is prime, where RSA-640 is the 193 decimal digit RSA challenge number A391940(14). A108573

Number of labeled hypertrees spanning some subset of {1,...,n}, with singleton edges allowed. A304968

Numbers k such that 13^k + 4 is prime. A137236

a(n) = ∑_k=1..n 2^k * σ(k), where σ(k) = A000203(k). A324915

Number of 6 X 6 0..n matrices with each 2 X 2 subblock idempotent. A224668

Number of n-length words w over a 9-ary alphabet such that w is empty or a prefix z concatenated with letter a_i and i=1 or 0 < #(z,a_i-1) >= #(z,a_i), where #(z,a_i) counts the occurrences of the i-th letter in z. A240615

Number of n-length words w over a 10-ary alphabet such that w is empty or a prefix z concatenated with letter a_i and i=1 or 0 < #(z,a_i-1) >= #(z,a_i), where #(z,a_i) counts the occurrences of the i-th letter in z. A240616

Number of n-length words w over an n-ary alphabet such that w is empty or a prefix z concatenated with letter a_i and i=1 or 0 < #(z,a_i-1) >= #(z,a_i), where #(z,a_i) counts the occurrences of the i-th letter in z. A240617

Number of (n+2) X (6+2) 0..1 arrays with no 3·3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3. A255799

Number of nX6 0..1 arrays with every element equal to 1 or 2 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300348