Properties of the Number 23045

Twenty-Three Thousand Forty-Five

Basics

Value: 23044 → 23045 → 23046

Parity: odd

Prime: No

Previous Prime: 23041

Next Prime: 23053

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 11 × 419

Divisors: 1, 5, 11, 55, 419, 2095, 4609, 23045

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101000000101

Octal: 55005

Duodecimal: 11405

Hexadecimal: 5a05

Square: 531072025

Square Root: 151.80579699076054

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*(13·n² - 7)/6. A62025

Expansion of ∏_m>=1 (1+x^m)³. A22568

T(n,k)=Number of -k..k arrays of n elements with adjacent element differences also in -k..k. A201042

Sum of numbers that can be written as t·n + u*(n+1) for nonnegative integers t,u in exactly two ways. A76455

Triangle defined by T(n,k) = ∑_j>=0 C(j+k, k) * C((j+k)*k, n-k) / 2^j+k+1, for n>=0, k = 0..n, as read by rows. A300280

Number of -7..7 arrays of n elements with adjacent element differences also in -7..7. A201041

Number of -n..n arrays of 4 elements with adjacent element differences also in -n..n. A201043

Half the number of n X n binary matrices differing in at most three positions between adjacent rows and at most three positions between adjacent columns. A140338

Irregular triangle T(n,k) read by rows: number of orbits of size 2^k on Dyck n-paths. A175137

Smallest member of cycle corresponding to n-th term of A165068. A165069