Properties of the Number 94257

Ninety-Four Thousand Two Hundred Fifty-Seven

Basics

Value: 94256 → 94257 → 94258

Parity: odd

Prime: No

Previous Prime: 94253

Next Prime: 94261

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 3491

Divisors: 1, 3, 9, 27, 3491, 10473, 31419, 94257

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111000000110001

Octal: 270061

Duodecimal: 46669

Hexadecimal: 17031

Square: 8884382049

Square Root: 307.01302903948556

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 nondecreasing arrangements of n numbers in -(n+k-2)..(n+k-2) with sum zero. A188211

Number of partitions of n² into up to n parts each no more than 2n, or of n(3n+1)/2 into exactly n distinct parts each no more than 3n. A109655

Number of 9-element subsets that can be chosen from {1,2,...,18·n+9} having element sum 81·n+45. A204473

Number of strictly increasing arrangements of n numbers in -(n+4)..(n+4) with sum zero. A188178

T(n,k) is the number of strictly increasing arrangements of n numbers in -(n+k-2)..(n+k-2) with sum zero. A188181

T(n,k) = number of nondecreasing arrangements of n numbers in -k..k with sum zero. A183917

Let M be the 3 X 3 matrix [0 1 0 / 0 0 1 / 7 -35 21]. Take Mⁿ * [1 1 1] = [p q r]; then a(n-1), a(n), a(n+1) = -p, -q, -r respectively. A94257