Properties of the Number 76111

Seventy-Six Thousand One Hundred Eleven

Basics

Value: 76110 → 76111 → 76112

Parity: odd

Prime: No

Previous Prime: 76103

Next Prime: 76123

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 7 × 83 × 131

Divisors: 1, 7, 83, 131, 581, 917, 10873, 76111

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010100101001111

Octal: 224517

Duodecimal: 38067

Hexadecimal: 1294f

Square: 5792884321

Square Root: 275.8822212466762

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

Numerators of (1/4!)*(H(n,1)⁴+6·H(n,1)²*H(n,2)+8·H(n,1)*H(n,3)+3·H(n,2)²+6·H(n,4)), where H(n,m) = ∑_i=1..n 1/i^m are generalized harmonic numbers. A72913

Expansion of 1/((1-3x)(1-4x)(1-6x)(1-12x)). A28037

Square array T(n,k) read by antidiagonals: numerators of Stirling numbers of first kind with negative argument S1(-n,k), n,k>=0. A103879

Number of length 1+5 0..n arrays with some three disjoint pairs in each consecutive six terms having the same sum. A248490

Square array read by ascending antidiagonals where T(n,k) is the mean number of maxima in a set of n random k-dimensional real vectors (numerators). A257894

Triangle read by rows giving numbers T(n,j) (n >= 0, 1 <= j <= n+1) of certain restricted partitions of 2n into j blocks. A300051

T(n,k)=Number of length n+5 0..k arrays with some three disjoint pairs in each consecutive six terms having the same sum. A248489

Number of integer partitions of 2·n having exactly 2·n submultisets. A325830

Product of terms in n-th row of A076110. A76111

Square array T(n,k) read by antidiagonals: denominators of Stirling numbers of first kind with negative argument S1(-n,k), n,k>=0. A103880