Properties of the Number 66575

Sixty-Six Thousand Five Hundred Seventy-Five

Basics

Value: 66574 → 66575 → 66576

Parity: odd

Prime: No

Previous Prime: 66571

Next Prime: 66587

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 5 ² × 2663

Divisors: 1, 5, 25, 2663, 13315, 66575

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010000001111

Octal: 202017

Duodecimal: 3263B

Hexadecimal: 1040f

Square: 4432230625

Square Root: 258.02131694881336

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

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A316176

Sum of numbers of bipartite partitions of (n,k) into distinct pairs for 0<=k<=n. A219557

Numbers k such that (61·10^k - 7)/9 is prime. A56718

Satisfies the recurrence a(n) = 3·a(n-1)-a(n-2)+a(n-3)-2·a(n-4)+2·a(n-5). A282732

Number of nX5 0..1 arrays with every element unequal to 1, 2, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A316173

Number of nX7 0..1 arrays with every element unequal to 1, 2, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A316175

LCM of numbers m such that 1 <= m <= n, m has a common factor with n, but m does not divide n. A66575