Properties of the Number 71669

Seventy-One Thousand Six Hundred Sixty-Nine

Basics

Value: 71668 → 71669 → 71670

Parity: odd

Prime: No

Previous Prime: 71663

Next Prime: 71671

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 13 × 37 × 149

Divisors: 1, 13, 37, 149, 481, 1937, 5513, 71669

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001011111110101

Octal: 213765

Duodecimal: 35585

Hexadecimal: 117f5

Square: 5136445561

Square Root: 267.7106647109898

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 partitions of 2n in which every part is <n+1; also, the number of partitions of 2 into rational numbers a/b such that 0<a<=b<=n and b divides n. A209816

Number of partitions of n with no part larger than n/2. Also partitions of n into n/2 or fewer parts. A110618

Number of integer partitions of n whose greatest part is at most one more than the sum of the other parts. A336106

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 2, 3 or 5 king-move neighboring 1s. A296963

Numbers n such that n | 4ⁿ + 3ⁿ + 2ⁿ + 1ⁿ. A56643

Number of nX3 0..1 arrays with each 1 adjacent to 2, 3 or 5 king-move neighboring 1s. A296958

Number of partitions of n into integers not greater than the squarefree kernel of n. A98715

Permutation A057505 applied six times, permutation A071661 cubed, permutation A071663 squared. A71669