Properties of the Number 46625

Forty-Six Thousand Six Hundred Twenty-Five

Basics

Value: 46624 → 46625 → 46626

Parity: odd

Prime: No

Previous Prime: 46619

Next Prime: 46633

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 ³ × 373

Divisors: 1, 5, 25, 125, 373, 1865, 9325, 46625

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011011000100001

Octal: 133041

Duodecimal: 22B95

Hexadecimal: b621

Square: 2173890625

Square Root: 215.92822881689185

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

Arithmetic derivative of the primorial base exp-function: a(n) = A003415(A276086(n)). A327860

a(n) = ∑_{1 <= x₁, x₂, x₃ <= n} gcd(x₁, x₂, x₃, n)³. A372928

Denominator of ratio A003415(n) / A003415(A276086(n)), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function. A369039

Dirichlet g.f.: ζ(s-3)² * (1 - 2^4-s) / ζ(s). A369101

a(n) = degree in N of the number of orbits under S_N of the set of n-tuples of partitions of {1,...,N} into n subsets. A140124

Number of n X n binary arrays with all ones connected only in a 0100-1100-0111-0010 pattern in any orientation. A147043

Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 0100-1100-0111-0010 pattern in any orientation. A147045

A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to six complementary pairs of ratios which generate simple musical tones (scale steps): 8/7 and 7/4, 6/5 and 5/3, 16/13 and 13/8, 5/4 and 8/5, 4/3 and 3/2 and 11/8 and 16/11. A60233

Number of nX4 0..1 arrays with every element equal to 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero. A297947

Even numbers in the numerators of the 1/5-Pascal triangle (by row). A46625