Properties of the Number 23097

Twenty-Three Thousand Ninety-Seven

Basics

Value: 23096 → 23097 → 23098

Parity: odd

Prime: No

Previous Prime: 23087

Next Prime: 23099

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7699

Divisors: 1, 3, 7699, 23097

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101101000111001

Octal: 55071

Duodecimal: 11449

Hexadecimal: 5a39

Square: 533471409

Square Root: 151.9769719398304

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

Sum over all partitions of n of the number of distinct parts i of multiplicity i - 1. A277101

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300639

a(n) = p² - sum of digits of p^p, where p = prime(n). A140499

Numbers·such that the base 10 representation of x² forms an arithmetic sequence when split into equal-sized chunks. A244660

Number of nX6 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300637

a(n) is the coefficient of xⁿ in x/(1 + ∑_k>=1 (1/2)*(prime(k+1) - 1)*x^k). A74142

Number of n X n 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300633

a(n) is least k such that k and 5k are anagrams in base n (written in base 10). A23097