Properties of the Number 44689

Forty-Four Thousand Six Hundred Eighty-Nine

Basics

Value: 44688 → 44689 → 44690

Parity: odd

Prime: No

Previous Prime: 44687

Next Prime: 44699

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 23 × 29 × 67

Divisors: 1, 23, 29, 67, 667, 1541, 1943, 44689

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010111010010001

Octal: 127221

Duodecimal: 21A41

Hexadecimal: ae91

Square: 1997106721

Square Root: 211.3977294107011

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*(11·n² - 5)/6. A4467

Number of factor-free Dyck words with slope 7/3 and length 10n. A274259

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(∑_j>=1 sigma_k(j) * x^j). A294296

Heptagonal numbers which are products of three distinct primes. A356422

Least k such that k·p(n)#/5-3+j is prime for j=2,4,8. A111122

Heptagonal numbers A000566 which are the sum of two other heptagonal numbers > 0. A133251

Number of nX4 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero. A278153

Numbers n such that string 6,3 occurs in the base 9 representation of n but not of n+1. A44689

G.f. satisfies: A(x) = exp( ∑_n>=1 (∑_k=0..n C(n,k)³ * x^k*A(x)^k) * xⁿ*A(x)ⁿ/n ). A200215