Properties of the Number 66529

Sixty-Six Thousand Five Hundred Twenty-Nine

Basics

Value: 66528 → 66529 → 66530

Parity: odd

Prime: Yes

Previous Prime: 66523

Next Prime: 66533

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 66529

Divisors: 1, 66529

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000001111100001

Octal: 201741

Duodecimal: 32601

Hexadecimal: 103e1

Square: 4426107841

Square Root: 257.9321616239433

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.: -x*(x-1)*(1+x)/(1-x-7·x²-x³+x⁴). A171064

Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 neighboring 1s. A297428

Primes p = x² + y², not of the form z² + 1, such that 2^x² == 2^y² == 1 (mod p). A299103

Number of skew shapes in a 3 X n rectangle with no empty rows or columns. A362153

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 neighboring 1s. A297431

a(n) is the least index such that the least primitive root of the a(n)-th prime is n, or zero if no such prime exists. A66529

Number of ways to write n as p·q-(p+q) with primes p <= q. A157187

Decimal expansion of 2¹¹⁰⁵⁰³ - 1, the 29th Mersenne prime. A371848

Primes p such that p² + 1 has more divisors than p² - 1. A358879