Properties of the Number 12736

Twelve Thousand Seven Hundred Thirty-Six

Basics

Value: 12735 → 12736 → 12737

Parity: even

Prime: No

Previous Prime: 12721

Next Prime: 12739

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁶ × 199

Divisors: 1, 2, 4, 8, 16, 32, 64, 199, 398, 796

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11000111000000

Octal: 30700

Duodecimal: 7454

Hexadecimal: 31c0

Square: 162205696

Square Root: 112.85388783732708

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

T(n,k)=Number of nXk 0..3 arrays with no element equal to another within two positions in the same row or column, and new values 0..3 introduced in row major order. A206692

T(n,k)=Number of nXk 0..2 arrays with no element equal to a different number of vertical neighbors than horizontal neighbors, with new values 0..2 introduced in row major order. A240893

T(n,k)=Number of nXk 0..2 arrays with no element equal to one or three horizontal or vertical neighbors, with new values 0..2 introduced in row major order. A241108

Aliquot sequence starting at 180. A8891

Total number of repeated parts in all partitions of n. A194452

Numbers n such that the smallest prime divisor of n²+1 is 101. A248553

Expansion of ∑_k>=0 x^k/(1 - k³ * x)^k+1. A355473

Array read by antidiagonals: see A128195 for details. A126062

Number of n X 2 0..3 arrays with no element equal to another within two positions in the same row or column, and new values 0..3 introduced in row major order. A206687

Total number of nodes summed over all nonnegative lattice paths from (0,0) to (n,0) where the allowed steps at (x,y) are (h,v) with h in {1..max(1,y)} and v in {-1,0,1}. A337318