Properties of the Number 64066

Sixty-Four Thousand Sixty-Six

Basics

Value: 64065 → 64066 → 64067

Parity: even

Prime: No

Previous Prime: 64063

Next Prime: 64067

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 103 × 311

Divisors: 1, 2, 103, 206, 311, 622, 32033, 64066

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111101001000010

Octal: 175102

Duodecimal: 310AA

Hexadecimal: fa42

Square: 4104452356

Square Root: 253.11262315419987

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) = ∑_k=0..n binomial(n,k)^n+k. A206152

a(n) = A273059(4n+1). A275917

G.f.: ∏_m>0 (1 + x^m + 2!*x^2·m + 3!*x^3·m). A289485

Number of 0..n arrays of length 4 with 0 never adjacent to n. A212837

Number of planar n X n X n binary triangular grids symmetric under 120 degree rotation with no more than 3 ones in any 4 X 4 X 4 subtriangle. A153923

G.f.: exp( ∑_n>=1 A206152(n)*xⁿ/n ), where A206152(n) = ∑_k=0..n binomial(n,k)^n+k. A206151

n-th step is to add a(n) to each previous number a(k) (excluding itself, i.e., k < n) to produce n more terms of the sequence, starting with a(0)=1, a(1)=1. A64066

a(n) = a(n-2) + a(n-1) + floor(n/2) + 1 for n > 1 and a(0)=0, a(1)=1. A215005