Properties of the Number 66691

Sixty-Six Thousand Six Hundred Ninety-One

Basics

Value: 66690 → 66691 → 66692

Parity: odd

Prime: No

Previous Prime: 66683

Next Prime: 66697

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 17 × 3923

Divisors: 1, 17, 3923, 66691

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010010000011

Octal: 202203

Duodecimal: 32717

Hexadecimal: 10483

Square: 4447689481

Square Root: 258.2460067455061

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

Consider the prime factors, with multiplicity, in ascending order, of a composite number not ending in 0. Take their sum and repeat the process deleting the minimum number and adding the previous sum. The sequence lists the numbers that after some iterations reach a sum equal to the reverse of themselves. A247013

a(n) is the sum of all valleys in the set of Catalan words of length n. A371963

Pisot sequence E(8,10), a(n) = floor( a(n-1)²/a(n-2) + 1/2 ). A10916

a(n) = ∑_k=0..n (-1)^k * binomial(3·n+k,n-k). A390570

Berend Jan van der Zwaag's conjectured complete list of numbers that start different "expanding periodic loops" under the mapping described in A053392 and A060630. A103117

Number of compositions of n into floor(j/3) kinds of j's for all j>=1. A176848

Expansion of (6·x⁵+5·x⁴+4·x³+3·x²+2·x+8)/(1-x-x⁶). A275627

Value of τ(2n-1) when τ(2n-1) = τ(2n+1). A66691