Properties of the Number 12744

Twelve Thousand Seven Hundred Forty-Four

Basics

Value: 12743 → 12744 → 12745

Parity: even

Prime: No

Previous Prime: 12743

Next Prime: 12757

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 59

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000111001000

Octal: 30710

Duodecimal: 7460

Hexadecimal: 31c8

Square: 162409536

Square Root: 112.88932633336067

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

Number of regions into which a figure made up of a row of n adjacent congruent rectangles is divided upon drawing diagonals of all possible rectangles (a(0)=0 by convention). A306302

Number of ordered positive integer solutions (m₁, m₂, ..., m_k) (for some k) to ∑_i=1..k m_i=n with |m_i-m_i-1| <= 1 for i = 2 ... k. A34297

Generating function A(x) satisfies A(x) = (1+x)²*A(x²)², with A(0)=1. A73708

T(n,k) = Number of (n+1) X (k+1) 0..4 arrays with the permanents of all 2X2 subblocks equal and nonzero. A204732

Sum of the second largest parts of the partitions of n into 8 squarefree parts. A326451

Numbers of the form p³*q³*r where p, q, and r are prime. A179688

G.f. A(x,y) satisfies: x·y*A(x,y) = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1/2) * A(x,y)ⁿ, with coefficients T(n,k) of xⁿ*y^k in A(x,y) given as a triangle read by rows. A355360

Coefficients of a power series whose convolution consists of only the even-indexed terms of the sequence. A73707

Numbers that have exactly two exponents in their prime factorization that are equal to 3. A386801

Numbers with at least two 3s in their prime signature. A109399