Properties of the Number 12288

Twelve Thousand Two Hundred Eighty-Eight

Basics

Value: 12287 → 12288 → 12289

Parity: even

Prime: No

Previous Prime: 12281

Next Prime: 12289

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ¹² × 3

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11000000000000

Octal: 30000

Duodecimal: 7140

Hexadecimal: 3000

Square: 150994944

Square Root: 110.85125168440814

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Triangle read by rows: T(n,k) = ∑_j>=0 j!*T(n-j-1, k-1) for n >= 0, k >= 0. A84938

a(n) = 3·2ⁿ. A7283

Smallest number with exactly n divisors. A5179

Expansion of g.f. (1+x)/(1-2·x). A3945

Numbers k that divide the (right) concatenation of all numbers <= k written in base 2 (most significant digit on left). A29447

Numbers of the form 2ⁿ or 3·2ⁿ. A29744

The minimal numbers: sequence A005179 arranged in increasing order. A7416

Numbers of the form 2^k times 1, 3 or 5. A29747

a(n) = 3·4^n-1, n>0; a(0)=1. A2001

a(0)=0, a(1)=1, a(n) = n·2^n-2 for n >= 2. A57711