Properties of the Number 37257

Thirty-Seven Thousand Two Hundred Fifty-Seven

Basics

Value: 37256 → 37257 → 37258

Parity: odd

Prime: No

Previous Prime: 37253

Next Prime: 37273

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 1129

Divisors: 1, 3, 11, 33, 1129, 3387, 12419, 37257

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000110001001

Octal: 110611

Duodecimal: 19689

Hexadecimal: 9189

Square: 1388084049

Square Root: 193.0207242759181

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

Irregular triangle read by rows: T(n,k) = ∑_i=0..k (-1)ⁱ * binomial(2·n+1,i) * binomial(k+2-i,2)ⁿ, 0 <= k <= 2*(n-1). A154283

Triangle read by rows: number of circular permutations of [1..n] with k progressions of rise 1, distance 1 and length 3 (n >= 3, k >= 0). A216718

Number of permutations of 2 indistinguishable copies of 1..n with exactly 2 adjacent element pairs in decreasing order. A151624

Number of permutations of 2 indistinguishable copies of 1..n with exactly 8 adjacent element pairs in decreasing order. A151630

G.f. A(x) satisfies A(x) = 1 + x·A(x)*A(x²)². A217925

Multiplicity of highest weight (or singular) vectors associated with character chi₁₄ of Monster module. A34402

a(1)=a(2)=1, a(n)=a(n-1)+a(n-2) if n is odd, a(n)=a(n-1)+a(n/2) if n is even. A78912

a(n) = ∑_i=1..n binomial(i+1,2)⁶. A85441

a() = 1,3,... [ A037257 ], differences = 2,... [ A037258 ] and 2nd differences [ A037259 ] are disjoint and monotonic; adjoin next free number to 2nd differences unless it would produce a duplicate in which case ignore. A37257

a(n) = binomial(n+2,n)⁶. A59978