Properties of the Number 89973

Eighty-Nine Thousand Nine Hundred Seventy-Three

Basics

Value: 89972 → 89973 → 89974

Parity: odd

Prime: No

Previous Prime: 89963

Next Prime: 89977

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13 × 769

Divisors: 1, 3, 9, 13, 39, 117, 769, 2307, 6921, 9997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101111101110101

Octal: 257565

Duodecimal: 44099

Hexadecimal: 15f75

Square: 8095140729

Square Root: 299.9549966244937

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) = ∑_k=1..n k²*τ(k), where τ is A000005. A319085

The number of non-equivalent distinguishing coloring partitions of the path on n vertices (n>=1) with exactly k parts (k>=1). Regular triangle read by rows: the rows are indexed by n, the number of vertices of the path, and the columns are indexed by k, the number of parts. A309748

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 805", based on the 5-celled von Neumann neighborhood. A284140

Numbers k that divide ∑_i=1..k φ(i)², where φ(i) = totient function A000010. A144857

Integer lengths of log(2)-primes: numbers n such that the concatenation of the first n decimal digits of log(2) is prime. A228226

Number of maximum-length 2-surprising sequences in n symbols. A89973