Properties of the Number 18957

Eighteen Thousand Nine Hundred Fifty-Seven

Basics

Value: 18956 → 18957 → 18958

Parity: odd

Prime: No

Previous Prime: 18947

Next Prime: 18959

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 71 × 89

Divisors: 1, 3, 71, 89, 213, 267, 6319, 18957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101000001101

Octal: 45015

Duodecimal: AB79

Hexadecimal: 4a0d

Square: 359367849

Square Root: 137.6844217767573

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 compositions (ordered partitions) of n into tetrahedral (or triangular pyramidal) numbers (A000292). A282582

Expansion of 1/∑_k>=0 x^k². A317665

a(n+2) = 9·a(n+1) - a(n), a(0) = 3, a(1) = 27. A65100

Sum of the largest parts in the partitions of n into 6 squarefree parts. A308911

McKay-Thompson series of class 24F for Monster. A58576

McKay-Thompson series of class 24d for Monster. A58587

a(n) = (1/3!)*(n³ + 24·n² + 107·n + 90), compare A059604. A59605

Largest number not the sum of n distinct nonzero squares. A129210

Number of (w,x,y) with all terms in {0,...,n} and w <= x + y and x < y. A212981

Coefficients of replicable function number 24e. A112163