Properties of the Number 10769

Ten Thousand Seven Hundred Sixty-Nine

Basics

Value: 10768 → 10769 → 10770

Parity: odd

Prime: No

Previous Prime: 10753

Next Prime: 10771

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 11 ² × 89

Divisors: 1, 11, 89, 121, 979, 10769

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000010001

Octal: 25021

Duodecimal: 6295

Hexadecimal: 2a11

Square: 115971361

Square Root: 103.77379245262264

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) = 11·a(n-1) - 11·a(n-2), a(0)=0, a(1)=1. A190871

Number of fib101 primes (A095089) in range ]2ⁿ,2ⁿ⁺¹]. A95069

a(n) = n²*Fibonacci(n). A259451

Triangle read by rows: T(n,k) is the number of k-matchings in the P₄ X P_n lattice graph. A100265

Number of partitions of n containing at least one part m-10 if m is the largest part. A212550

a(n) = 1 + F(2·n+1) - (F(n+4) - (-1)ⁿ*F(n-2))/2 where F=A000045. A330051

The lower (or left) offset of a 196-iterate (A006960) from the largest palindrome less than the iterate. A331556

Triangle read by rows: T(n,k) is the number of Schroeder paths of length 2n and having k peaks at odd height. A101894

Number of strings of numbers x(i=1..n) in 0..4 with sum i³*x(i) equal to n³*4. A184252

An avoidance sequence for a pair of tree patterns that is not the avoidance sequence for any set of permutations. A221720