Properties of the Number 21967

Twenty-One Thousand Nine Hundred Sixty-Seven

Basics

Value: 21966 → 21967 → 21968

Parity: odd

Prime: No

Previous Prime: 21961

Next Prime: 21977

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 11 × 1997

Divisors: 1, 11, 1997, 21967

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101010111001111

Octal: 52717

Duodecimal: 10867

Hexadecimal: 55cf

Square: 482549089

Square Root: 148.2126850171739

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

G.f.: ∏_n>=1 (1 + xⁿ + xⁿ⁺¹). A160571

Least positive number k such that 2^k mod k = 2n+1, or 0 if no such k exists. A124977

Numbers k such that k divides the sum of digits in factorial base of all numbers from 1 to k. A333702

Records in A360519. A361107

a(n) is the smallest term m in A173978 for which A020639(2m-3) = prime(n), n > 1. A173980

a(n) = A066186(n) - A004125(n). A162362

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, -1, 1), (-1, 1, 0), (1, -1, 0), (1, 1, 0)}. A149146

Composite numbers m for which L(p(i)/p(j)) = -1 for all i, j, where p(k) are the prime factors of m and L(x/y) is the Legendre symbol of·and y, defined to be 1 if·is a quadratic residue (mod y) and -1 if·is a quadratic non-residue (mod y). A279550

Decimal expansion of 1/963. A21967