Properties of the Number 66936

Sixty-Six Thousand Nine Hundred Thirty-Six

Basics

Value: 66935 → 66936 → 66937

Parity: even

Prime: No

Previous Prime: 66931

Next Prime: 66943

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 2789

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 2789, 5578

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000010101111000

Octal: 202570

Duodecimal: 328A0

Hexadecimal: 10578

Square: 4480428096

Square Root: 258.7199257884866

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

a(n) counts the distinct cubical (on alphabet of 3 symbols) billiard words with length n, acting as prefix to just k = 1 such word of length n+1 (that is, not "special"). A180437

Binary XOR of (3^k - 1)/2 as k varies from 1 to n. A199396

Number of 6-cycles in the n X n knight graph. A289181

a(n) = ∑_k<n ((2ⁿ-1) mod (2^k-1)). A329162

a(n) = least k such that A155043(k) = n; positions of records in A155043. A261089

Expansion of g/(2 - g²), where g = 1+x·g³ is the g.f. of A001764. A391462

Integers k such that prime(k)-1 == 0 (mod φ(k)) where prime(n)=A000040(n) is the n-th prime and φ(n)=A000010(n) is the Euler totient function. A66936