Properties of the Number 40565

Forty Thousand Five Hundred Sixty-Five

Basics

Value: 40564 → 40565 → 40566

Parity: odd

Prime: No

Previous Prime: 40559

Next Prime: 40577

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 7 × 19 × 61

Divisors: 1, 5, 7, 19, 35, 61, 95, 133, 305, 427

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111001110101

Octal: 117165

Duodecimal: 1B585

Hexadecimal: 9e75

Square: 1645519225

Square Root: 201.40754702840707

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

Number of compositions of n in which the maximal multiplicity of parts equals 6. A243123

Terms of A349937 that are not divisible by 3: numbers k > 1 not divisible by 2 or 3 such that A309906(k-1) < A309906(k) > A309906(k+1). A349941

Expansion of 1/(1-x³-x⁴-x⁵-x⁶-x⁷). A17820

a(n) = (3^prime(n-1) - 2^prime(n-1))/prime(n). A320282

A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the 11 pairs of target ratios needed to express the 22 steps of the theoretical Hindu scale known as the 22 Srutis: 45/32 and 64/45, 27/20 and 40/27, 4/3 and 3/2, 81/64 and 128/81, 5/4 and 8/5, 6/5 and 5/3, 32/27 and 27/16, 9/8 and 16/9, 10/9 and 9/5, 16/15 and 15/8, 256/243 and 243/128. A61921

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (1, -1, 1), (1, 1, -1), (1, 1, 1)}. A149803

Numbers k such that (3^ord(3/2, k) - 2^ord(3/2, k))/k is a prime, where ord(3/2, k) is the multiplicative order of 3/2 (mod k). A345705

Continued fraction for sqrt(590). A40565