Properties of the Number 20868

Twenty Thousand Eight Hundred Sixty-Eight

Basics

Value: 20867 → 20868 → 20869

Parity: even

Prime: No

Previous Prime: 20857

Next Prime: 20873

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 37 × 47

Divisors: 1, 2, 3, 4, 6, 12, 37, 47, 74, 94

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000110000100

Octal: 50604

Duodecimal: 100B0

Hexadecimal: 5184

Square: 435473424

Square Root: 144.45760623795482

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

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal median minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253961

Numbers k such that the k-th composition in standard order is an alternating permutation of {1..k} for some k. A349051

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

Perimeters of more than one primitive Pythagorean triangle. A24408

Triangle read by rows: T(n,k) is the number of alternating (i.e., down-up) permutations of {1,2,...,n} having k fixed points (n >= 0, 0 <= k <= ceiling(n/2)). A162979

Triangular array related to tennis ball problem, read by rows. A79521

Triangle read by rows: T(n,k) is the number of reverse alternating (i.e., up-down) permutations of {1,2,...,n} having k fixed points (n >= 0, 0 <= k <= 1 + floor(n/2)). A162980

Number of permutations s₁,s₂,...,s_n of 1,2,...,n with s_n = 1 (if n>0) and such that for all j=1,2,...,n, ∑_i=1..j s_i divides ∑_i=1..j s_i³. A291519

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