Properties of the Number 72923

Seventy-Two Thousand Nine Hundred Twenty-Three

Basics

Value: 72922 → 72923 → 72924

Parity: odd

Prime: Yes

Previous Prime: 72911

Next Prime: 72931

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 72923

Divisors: 1, 72923

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110011011011

Octal: 216333

Duodecimal: 3624B

Hexadecimal: 11cdb

Square: 5317763929

Square Root: 270.0425892336244

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

Start with x, xy; then concatenate each word in turn with all preceding words, getting·xy xxy xxxy xyxxy xxxxy xyxxxy xxyxxxy ...; sequence gives number of words of length n. Also binary trees by degree: x (x,y) (x,(x,y)) (x,(x,(x,y))) ((x,y),(x,(x,y)))... A63895

Smallest of three consecutive primes whose sum is a triangular number. A226148

T(n,k)=Number of ways to reciprocally link elements of an nXk array either to themselves or to exactly two king-move neighbors, without consecutive collinear links. A220718

Table(n,j) of primes p = k·prime(n)#/210-j, where k is the least integer such that p and p+8 are consecutive primes, for n > 4 and j=7 to 1. A98078

Primes p such that the largest prime factor of p⁵ + 1 is less than p. A102327

Pierce expansion of the cube root of 1/2. A140076

Number of ways to reciprocally link elements of an nX4 array either to themselves or to exactly two king-move neighbors, without consecutive collinear links. A220715

Number of primes of the form floor( (1+1/k)ⁿ ), 1<=k<=n. A72923

a(n) is the smallest prime dividing n numbers of the form k! + 1. A230315