Properties of the Number 23005

Twenty-Three Thousand Five

Basics

Value: 23004 → 23005 → 23006

Parity: odd

Prime: No

Previous Prime: 23003

Next Prime: 23011

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 5 × 43 × 107

Divisors: 1, 5, 43, 107, 215, 535, 4601, 23005

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100111011101

Octal: 54735

Duodecimal: 11391

Hexadecimal: 59dd

Square: 529230025

Square Root: 151.67399249706588

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

Numbers k such that the Woodall number k·2^k - 1 is prime. A2234

Number of integer partitions of n whose median appears more times than any other part, i.e., partitions containing a unique mode equal to the median. A363740

Number of partitions of n in which the sequence of the sum of the same summands is nondecreasing. A304405

Triangular numbers with sum of digits = 10. A68129

Products of members of pairs in A075333. A75337

Triangular numbers whose internal digits form a triangular number. Or triangular number such that deleting the MSD and LSD leaves a triangular number. A77366

Expansion of exp( ∑_n>=1 -σ(9·n)*xⁿ/n ) in powers of x. A283169

Values that show the slow decrease in the Andrica function Af(k) = sqrt(p(k+1)) - sqrt(p(k)), where p(k) denotes the k-th prime. A84977

Triangular numbers whose digit permutations yield at least two further triangular numbers. A69674

Triangular numbers congruent to 1 or 5 mod 6. A128880