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Properties of the Number 66642

Sixty-Six Thousand Six Hundred Forty-Two

Basics

Value: 66641 → 66642 → 66643

Parity: even

Prime: No

Previous Prime: 66629

Next Prime: 66643

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 29 × 383

Divisors: 1, 2, 3, 6, 29, 58, 87, 174, 383, 766

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000010001010010

Octal: 202122

Duodecimal: 32696

Hexadecimal: 10452

Square: 4441156164

Square Root: 258.1511185333118

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

Expansion of ∏k>=2 1/(1 - xk)bigomega(k), where bigomega(k) is the number of prime divisors of k counted with multiplicity (A001222). A293549
First position of n in A354578, where A354578(k) is the number of integer compositions whose run-sums constitute the k-th composition in standard order (graded reverse-lexicographic, A066099). A354905
Let P1 >= 3, P2, P3 be consecutive primes, with P3 - P2 = 2. a(n) = (P2 + P3)/12 for the first occurrence of (P2 - P1)/2 = n. A329251
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
Binomial transform of A120070. A141595
Numbers k such that k and k2 use only the digits 1, 2, 4, 5 and 6. A136988
Number of nX3 0..1 arrays with every element unequal to 1, 2, 5 or 8 king-move adjacent elements, with upper left element zero. A304297
6·a(n) - 1 is the least prime p of a pair of twin primes p, p + 2, for which the prime gap immediately below p achieves the size 2·A007494(n). A337435
a(n) = floor(nn/2). A66642