Properties of the Number 10796

Ten Thousand Seven Hundred Ninety-Six

Basics

Value: 10795 → 10796 → 10797

Parity: even

Prime: No

Previous Prime: 10789

Next Prime: 10799

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 2699

Divisors: 1, 2, 4, 2699, 5398, 10796

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000101100

Octal: 25054

Duodecimal: 62B8

Hexadecimal: 2a2c

Square: 116553616

Square Root: 103.9038016628843

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

Sum of largest parts of all partitions of n into an even number of parts. A222048

Triangle read by rows: T(n,k) is the number of paths in the first quadrant from (0,0) to (n,k), consisting of steps U=(1,1), D=(1,-1), h=(1,0) and H=(2,0) (0<=k<=n). A132276

T(n,k) = Number of n X k 1..3 arrays with every element value z a city block distance of exactly z from another element value z. A209365

Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 4. A209988

Sum of the first n twin prime pairs. A86169

Number of partitions p of n containing floor((min(p) + max(p))/2) as a part. A238482

∏_n>=1 (1 + xⁿ)^a(n) = 1 + ∑_n>=1 φ(n) * xⁿ, where φ = A000010. A328774

Number of distinct binomial(n,2)-tuples of zeros and ones that are obtained as the collection of all 2 X 2 minor determinants of a 2 X n matrix over GF(2). A123290

Number of 3-step self-avoiding walks on an n X n square summed over all starting positions. A188148

Number of nX3 1..3 arrays with every element value z a city block distance of exactly z from another element value z. A209362