Properties of the Number 64013

Sixty-Four Thousand Thirteen

Basics

Value: 64012 → 64013 → 64014

Parity: odd

Prime: Yes

Previous Prime: 64007

Next Prime: 64019

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 64013

Divisors: 1, 64013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101000001101

Octal: 175015

Duodecimal: 31065

Hexadecimal: fa0d

Square: 4097664169

Square Root: 253.00790501484337

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

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A240364

Balanced primes p of the form (r+q+s-1)/2, where r, q, s are consecutive primes. A129191

Primes of the form k³ + 13, k >= 0. A176722

Primes p such that p - d and p + d are also primes, where d is the largest digit of p. A245877

Number of nX3 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A240360

Prime numbers followed by two consecutive numbers which are products of four distinct primes (or tetraprimes). A362578

Sum of first n² odd primes (=S) is divisible by n and S/n = n mod 2. A64013

Arithmetic mean of next a(n) successive squares of positive integers is prime. A214451