Properties of the Number 12444

Twelve Thousand Four Hundred Forty-Four

Basics

Value: 12443 → 12444 → 12445

Parity: even

Prime: No

Previous Prime: 12437

Next Prime: 12451

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 17 × 61

Divisors: 1, 2, 3, 4, 6, 12, 17, 34, 51, 61

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000010011100

Octal: 30234

Duodecimal: 7250

Hexadecimal: 309c

Square: 154853136

Square Root: 111.55267813907473

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

Expansion of b(2)*b(4)*b(6)/(x⁸-x⁴-x+1), where b(k) = (1-x^k)/(1-x). A265055

Numbers k such that σ(k) = σ(k+6). A15866

Number of regions formed in a square by straight line segments when connecting the n-1 points between each corner that divide each edge into n equal parts to the n-1 points on the edge on the opposite side of the square. A355798

T(n,k)=Number of nXk binary arrays with top left element equal to 1 and no two ones adjacent horizontally or nw-se. A228796

Numbers k such that k![7]-1 is prime (where k![7] = A114799(k) = septuple factorial). A156167

Number of simple labeled graphs on n+2 nodes with exactly n connected components that are trees or cycles. A215862

Number of partitions of n whose greatest part is a multiple of 3. A363045

Expansion of x*(1 - 2·x + x² + 7·x³ - x⁴)/((1 - x)⁴*(1 + x)³). A292551

Subdiagonal of array of n-gonal numbers A081422. A81423

a(n) = n*(n+1)*(n+2)*(n²+2·n+17)/120. A257199