Properties of the Number 10764

Ten Thousand Seven Hundred Sixty-Four

Basics

Value: 10763 → 10764 → 10765

Parity: even

Prime: No

Previous Prime: 10753

Next Prime: 10771

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 13 × 23

Divisors: 1, 2, 3, 4, 6, 9, 12, 13, 18, 23

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101000001100

Octal: 25014

Duodecimal: 6290

Hexadecimal: 2a0c

Square: 115863696

Square Root: 103.7496987947435

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) = 10·binomial(n,2) + 9·n. A135705

LCM of terms in periodic part of continued fraction expansion of square root of -1+3ⁿ. A77635

Create the sequence of all positive integers > 1 that are prime or whose prime shadow (A181819) is a divisor that is already in the sequence. Then remove all the primes. A353389

Coefficients T(n,k) of xⁿ*y^k in A(x,y) for n >= 0, k = 0..3·n+1, where A(x,y) satisfies: y = ∑_n=-oo..+oo (-x)^n² * A(x,y)^(n-1²), as an irregular triangle read by rows. A356500

a(n) = ∑_k=1..n-1 k⁴*σ(k)*σ(n-k). A259692

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+809)² = y². A123654

Triangle, read by rows, where g.f.: A(x,y) = exp( ∑_n>=1 (3ⁿ + y)ⁿ * xⁿ/n ) is a power series in·and y with integer coefficients. A155812

Composite numbers with properties that its digits (which may appear with multiplicity) may not appear in any of its factors (wherein the digits may also appear with multiplicity) and the combined digits of the product and the factors must have at least one of each of the ten digits. A370972

a(n) is the number of regions formed by n-secting the angles of a nonagon (enneagon). A335781

An approximation to sigma_5/2(n): floor( ∑_d∣n d^5/2 ). A58272