Properties of the Number 64001

Sixty-Four Thousand One

Basics

Value: 64000 → 64001 → 64002

Parity: odd

Prime: No

Previous Prime: 63997

Next Prime: 64007

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 7 × 41 × 223

Divisors: 1, 7, 41, 223, 287, 1561, 9143, 64001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101000000001

Octal: 175001

Duodecimal: 31055

Hexadecimal: fa01

Square: 4096128001

Square Root: 252.9841892292876

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

8-step Fibonacci sequence starting with 0,0,0,0,0,0,1,0. A251672

Numbers k for which rank of the elliptic curve y² = x³ - 432·k² is 4. A309964

Number of (i,j,k) in {1,2,...,n}³ such that gcd(n,i) = gcd(n,j) = gcd(n,k). A338997

a(n) = 40·n² + 1. A158602

a(n) gives the odd leg of one of the two Pythagorean triangles with hypotenuse A080109(n) = A002144(n)². This is the smaller of the two possible odd legs. A253802

Decimal part of cube root of a(n) starts with 0: first term of runs (cubes excluded). A34126

Real part of (n + i)⁴. A272870

a(n) is the smallest number which can be represented as the sum of n distinct positive cubes in exactly 2 ways, or -1 if no such number exists. A374417

Smallest number of the form n^k +1, with τ(a(n)) = τ(n), or 0 if no such number exists. A87319

a(n) = A329762(n+1)/A329762(n). A329763