Properties of the Number 29760

Twenty-Nine Thousand Seven Hundred Sixty

Basics

Value: 29759 → 29760 → 29761

Parity: even

Prime: No

Previous Prime: 29759

Next Prime: 29761

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁶ × 3 × 5 × 31

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111010001000000

Octal: 72100

Duodecimal: 15280

Hexadecimal: 7440

Square: 885657600

Square Root: 172.5108692227826

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) (or n!/(n-3)!). A7531

Order of the group SL(2,Z_n). A56

Product of three numbers: n-th prime, previous number, and following number. A127917

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 1 1 1 vertically. A207928

Number of non-congruent solutions to x² + y² + z² + t² == 1 (mod n). A208895

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X3 or 3X2 subblock having exactly three clockwise edge increases. A206072

Table read by antidiagonals: T(h,n) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a box of size 2h X 2h X 2h where the walk starts at the center of the box. A337023

a(n) = (2·n+2)*(2·n+3)*(2·n+4) = 24·A000330(n+1). A69074

a(n) = sigma₃(n) - sigma₁(n). A92348

Numbers with prime factorization pqrs⁶. A190292