Properties of the Number 10727

Ten Thousand Seven Hundred Twenty-Seven

Basics

Value: 10726 → 10727 → 10728

Parity: odd

Prime: No

Previous Prime: 10723

Next Prime: 10729

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 17 × 631

Divisors: 1, 17, 631, 10727

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111100111

Octal: 24747

Duodecimal: 625B

Hexadecimal: 29e7

Square: 115068529

Square Root: 103.57123152690616

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 strings over a 5 symbol alphabet with adjacent symbols differing by three or less. A126473

Global ranks of terms of A057122: tells which terms of A014486 form rooted plane binary trees also when interpreted as codes for ordinary rooted planar trees. A57123

Number of partitions of an n-set with an even number of blocks of size 1. A111724

T(n,k)=Number of 0..k arrays of length n+1 with 0 never adjacent to k. A212835

Number of set partitions of {1..n} whose block-medians have integer median. A361864

a(n) = ∑_d∣n d⁴*A000593(n/d). A288420

Integers of the form 8k+7 that can be written as a sum of four distinct squares of the form m, m+2, m+4, m+5, where m == 1 (mod 4). A243579

Number of partitions p of n such that (maximal multiplicity of the parts of p) >= (maximal part of p). A240313

a(n) = n*(19·n-15)/2. A226490

Indices of record values in A246785. A246790