Properties of the Number 25164

Twenty-Five Thousand One Hundred Sixty-Four

Basics

Value: 25163 → 25164 → 25165

Parity: even

Prime: No

Previous Prime: 25163

Next Prime: 25169

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 233

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110001001001100

Octal: 61114

Duodecimal: 12690

Hexadecimal: 624c

Square: 633226896

Square Root: 158.63164879682742

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 list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the six simple ratios of musical harmony: 6/5, 5/4, 4/3, 3/2, 8/5 and 5/3. A54540

A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to four of the simple ratios of musical harmony: 5/4, 4/3, 3/2 and 8/5. A60525

Number of partitions p of n such that (number of even numbers in p) > (number of odd numbers in p). A241640

Equal divisions of the octave of decreasing 5-limit Pepper ambiguity. A117554

Numbers m > 0 that have a divisor d > 1 with binomial(m+d, d) == 1 mod m. A290040

Viggo Brun's ternary continued fraction algorithm applied to { log 2, log 3/2, log 5/4 } produces a list of triples (p,q,r); sequence gives p values. A359742

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A381600. A381592

A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the 7 pairs of complementary target ratios needed to express the 12 unsymmetrical steps of the untempered (Just Intonation) scale known as the Duodene: 3/2 and 4/3, 5/4 and 8/5, 6/5 and 5/3, 9/8 and 16/9, 10/9 and 9/5, 16/15 and 15/8 and 45/32 and 64/45. A61920

Numbers k such that k³ +/- k +/- 1 are prime for all four possibilities. A236764

Number of partitions of n with ten parts in which no part occurs more than twice. A320598