Properties of the Number 13766

Thirteen Thousand Seven Hundred Sixty-Six

Basics

Value: 13765 → 13766 → 13767

Parity: even

Prime: No

Previous Prime: 13763

Next Prime: 13781

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 6883

Divisors: 1, 2, 6883, 13766

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010111000110

Octal: 32706

Duodecimal: 7B72

Hexadecimal: 35c6

Square: 189502756

Square Root: 117.32859838931002

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

Numbers whose Matula tree is a binary tree (i.e., root has degree 2 and all nodes except root and leaves have degree 3). A111299

Matula-Goebel signatures for plane binary trees encoded by A014486. A127302

Numbers k > 1 such that, in base 5, k and k² contain the same digits in the same proportion. A61659

Numbers k that, when expressed in base 7 and then interpreted in base 10, give a multiple of k. A62944

a(n) = 1·2*3·4 + 5·6*7·8 + 9·10·11·12 + 13·14·15·16 + 17·18·19·20 + ... + (up to n). A319205

Matula-Goebel numbers of rooted trees in which all positive outdegrees are the same. A298424

Triangle read by rows: row n>=1 contains in increasing order the Matula numbers of the rooted binary trees with n leaves. A245824

Number of series-reduced anti-binary (no unary or binary branchings) unlabeled rooted trees with n nodes. A303025

Numbers that, when expressed in base 7 and then interpreted in base 10, yield a multiple of the original number. A32549

Matula-Goebel numbers of unlabeled binary rooted semi-identity trees. A339193