Properties of the Number 10791

Ten Thousand Seven Hundred Ninety-One

Basics

Value: 10790 → 10791 → 10792

Parity: odd

Prime: No

Previous Prime: 10789

Next Prime: 10799

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 109

Divisors: 1, 3, 9, 11, 33, 99, 109, 327, 981, 1199

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 10101000100111

Octal: 25047

Duodecimal: 62B3

Hexadecimal: 2a27

Square: 116445681

Square Root: 103.87973815908471

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

a(n) = n*(n+1)*(n+2)*(n+3)*(1+3·n+n²)/120. A101094

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array. A219939

Partial sums of Chebyshev sequence S(n,10) = U(n,5) = A004189(n+1). A97784

-9-Knödel numbers. A225513

Sum of the second largest parts in the partitions of n into 7 squarefree parts. A308959

Sum of the smallest parts in the partitions of n into 8 parts. A308990

a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(1)=2,a(2)=9. A154495

Number of noncrossing path sets on n nodes up to rotation with each path having at least two nodes. A303844

Numbers k such that ∑_d∣k σ(d)³/d is an integer, where d are the divisors of k. A226566

Odd heptagonal numbers (A000566). A14637