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Properties of the Number 21917

Twenty-One Thousand Nine Hundred Seventeen

Basics

Value: 21916 → 21917 → 21918

Parity: odd

Prime: No

Previous Prime: 21911

Next Prime: 21929

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 × 31 × 101

Divisors: 1, 7, 31, 101, 217, 707, 3131, 21917

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101010110011101

Octal: 52635

Duodecimal: 10825

Hexadecimal: 559d

Square: 480354889

Square Root: 148.0439124043944

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(n) = floor(n*φ14), where φ is the golden ratio, A001622. A4929
T(n,k)=Number of nXk 0..1 arrays with rows, columns, diagonals and antidiagonals unimodal. A223644
Total number of parts of multiplicity 5 in all partitions of n. A222705
Numbers k such that the sum of the prime distinct divisors of k2+1 equals 2 times the largest prime divisor of k2+1. A200072
Number of n X 3 0..1 arrays with rows, columns, diagonals and antidiagonals unimodal. A223639
Number of n X 3 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing. A224141
Number of n X n binary arrays with all ones connected only in a 1000-1100-0111-0010 pattern in any orientation. A147147
Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 1000-1100-0111-0010 pattern in any orientation. A147149
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), (0, 0, 1), (1, -1, 1), (1, 1, -1)}. A148491
Decimal expansion of 1/913. A21917