Properties of the Number 66817

Sixty-Six Thousand Eight Hundred Seventeen

Basics

Value: 66816 → 66817 → 66818

Parity: odd

Prime: No

Previous Prime: 66809

Next Prime: 66821

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 109 × 613

Divisors: 1, 109, 613, 66817

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010100000001

Octal: 202401

Duodecimal: 32801

Hexadecimal: 10501

Square: 4464511489

Square Root: 258.48984506165806

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

Partial sums of A299274. A299275

Number of integer partitions of n such that the maximum is greater than twice the median. A361857

Numerator of ∑_{p prime, p-1 divides 2·n} 1/p. A27761

a(n) = n⁴ + 5·n² + 1. A82113

a(n) = 4ⁿ for n = 0..3; for n > 3, a(n) = 4·a(n-1) + a(n-4). A98590

Self-convolution omits 1's at positions of triangular numbers less one. A105613

Self-convolution of A105613. A105614

Index of first occurrence of n in A165633. A165765

Denominator of Bernoulli_n multiplied by the sum of the associated inverse primes in the Staudt-Clausen theorem, n=1, 2, 4, 6, 8, 10,... A166306

Conjectured values of first prime in the orbit f(m), f(f(m)), ..., where f(n) = A067599(n) and m = n-th composite number; or 0 if none exists. A66817