Properties of the Number 21707

Twenty-One Thousand Seven Hundred Seven

Basics

Value: 21706 → 21707 → 21708

Parity: odd

Prime: No

Previous Prime: 21701

Next Prime: 21713

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7 ² × 443

Divisors: 1, 7, 49, 443, 3101, 21707

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010011001011

Octal: 52313

Duodecimal: 1068B

Hexadecimal: 54cb

Square: 471193849

Square Root: 147.3329562589443

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 that are the sum of four third powers in six or more ways. A345148

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with 2X2 subblock sums lexicographically nondecreasing rowwise and nonincreasing columnwise. A235413

Numbers that are the sum of four third powers in exactly six ways. A345149

Positions of 3's in A234323. A234804

Number of nondecreasing sequences of 4 1..n integers with no element dividing the sequence sum. A212871

Number of (n+1)X(2+1) 0..1 arrays with 2X2 subblock sums lexicographically nondecreasing rowwise and nonincreasing columnwise. A235407

Number of (n+1)X(6+1) 0..1 arrays with 2X2 subblock sums lexicographically nondecreasing rowwise and nonincreasing columnwise. A235411

Number of strictly increasing sequences of n integers 0 < u₁ < ... < u_n such that 1/u₁ + 1/(u₁ + u₂) + ... + 1/(u₁ + ... + u_n) = n/(n+1). A340772

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, -1, 1), (0, 1, -1), (1, 1, 1)}. A149700

Decimal expansion of 1/703. A21707