Properties of the Number 72832

Seventy-Two Thousand Eight Hundred Thirty-Two

Basics

Value: 72831 → 72832 → 72833

Parity: even

Prime: No

Previous Prime: 72823

Next Prime: 72859

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁷ × 569

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 569, 1138

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10001110010000000

Octal: 216200

Duodecimal: 36194

Hexadecimal: 11c80

Square: 5304500224

Square Root: 269.874044694928

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

Generalized Catalan numbers: a(n+1) = a(n) + ∑_k=1..n-1 a(k)*a(n-1-k). A4148

Triangle read by rows: T(n,k) is the number of Motzkin paths of length n with k valleys (n>=0, 0<=k<=floor(n/2)-1; a valley is a downstep followed by an upstep). A97885

Triangle, read by rows, equal to P⁴, where triangle P = A135880; also equals Q², where triangle Q = P² = A135885. A135891

Triangle read by rows: T(n,k) is the number of weighted lattice paths in L_n having k (1,-1)-returns to the horizontal axis. The members of L_n are paths of weight n that start at (0,0), end on the horizontal axis and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps. A182896

Expansion of (1 - x - x² - sqrt((1 - x - x²)² - 4·x³))/(2·x³) in powers of x. A292460

Numbers in A086473 corresponding to the unique product of two numbers having the unique sum of A086533. A86860

Number of elevated peakless Motzkin paths. A203019

Expansion of (1 - x - x² + sqrt((1 - x - x²)² - 4·x³))/2 in powers of x. A292461

Non-crossing, non-nesting, 4-colored permutations on {1,2,...,n}. A224993

Essentially same as A004148. A25241