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Properties of the Number 12616

Twelve Thousand Six Hundred Sixteen

Basics

Value: 12615 → 12616 → 12617

Parity: even

Prime: No

Previous Prime: 12613

Next Prime: 12619

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 3 × 19 × 83

Divisors: 1, 2, 4, 8, 19, 38, 76, 83, 152, 166

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000101001000

Octal: 30510

Duodecimal: 7374

Hexadecimal: 3148

Square: 159163456

Square Root: 112.32096865679178

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

a(n) = ∑k=0..5 binomial(n,k). A6261
Numbers m with deficiency 32: σ(m) - 2·m = -32. A387352
T(n,k) = Number of (n+2) X (k+2) 0..1 arrays with every 3 X 3 subblock sum of the two maximums of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254260
Triangular array read by rows: a(n, k) is the number of ordered m-tuples of positive integers (x1, ..., xm) such that max xi = n+1-m and there are k ones (0 <= k <= n). A89246
Least k with precisely n partitions k = x + y satisfying σ(k) = σ(x) + σ(y). A211224
T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 or 4. A252343
T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally and vertically. A254306
Number of binary [ n,8 ] codes without 0 columns. A34349
T(n,k)=Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal, vertical or antidiagonal neighbor, and containing the value n(n+1)/2-k-1. A211930
a(n) = n-th centered n-gonal number. A100119