Properties of the Number 10795

Ten Thousand Seven Hundred Ninety-Five

Basics

Value: 10794 → 10795 → 10796

Parity: odd

Prime: No

Previous Prime: 10789

Next Prime: 10799

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 17 × 127

Divisors: 1, 5, 17, 85, 127, 635, 2159, 10795

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000101011

Octal: 25053

Duodecimal: 62B7

Hexadecimal: 2a2b

Square: 116532025

Square Root: 103.89898940798221

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

Triangle of Gaussian binomial coefficients (or q-binomial coefficients) [n,k] for q = 2. A22166

Gaussian binomial coefficient [n, 2] for q = 2. A6095

Number of solenoidal flows (flow in = flow out) in a 3 X 3 square array with integer velocities -n .. n. A68722

Array read by antidiagonals: T(n,k) is the number of sublattices of index n in generic k-dimensional lattice (n >= 1, k >= 1). A160870

Pentagonal numbers with odd index: a(n) = (2·n+1)*(3·n+1). A33570

Gaussian binomial coefficients [n, 6] for q = 2. A22189

Number of sublattices of index n in generic 7-dimensional lattice. A38994

Number of partitions of n where the difference between consecutive parts is at most 2. A224956

Number of integer partitions of n not containing 1 or any part whose prime indices all belong to the partition. A324755

Triangle read by rows, T(n,k) = ∑_j=0..n-k+1 C(n-1,j-1)*T(n-j,k-1) if k ≠ 0 else 1, n>=0, 0<=k<=n. A256894