Properties of the Number 72028

Seventy-Two Thousand Twenty-Eight

Basics

Value: 72027 → 72028 → 72029

Parity: even

Prime: No

Previous Prime: 72019

Next Prime: 72031

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 11 × 1637

Divisors: 1, 2, 4, 11, 22, 44, 1637, 3274, 6548, 18007

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100101011100

Octal: 214534

Duodecimal: 35824

Hexadecimal: 1195c

Square: 5188032784

Square Root: 268.38032714787425

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 nonnegative integer arrays of length n+k-1 with new values 0 upwards introduced in order, and containing the value k-1. A211561

A triangular array of numbers related to factorization and number of parts in Murasaki diagrams. A133611

The real part of complex sequence: a(n) = a(n-1) + (1+i)*a(n-2). A143055

Number of 4-step E, S, NW and NE-moving king's tours on an n X n board summed over all starting positions. A187587

Number of nonnegative integer arrays of length n+4 with new values 0 upwards introduced in order, and containing the value 4. A211558

Number of nonnegative integer arrays of length n+5 with new values 0 upwards introduced in order, and containing the value n-1. A211565

a(n) = ∑_{-n<i<n, -n<j<n, gcd{i,j}=3} (n-|i|)*(n-|j|). A331774

Swap twin prime pairs of form (4·k+1,4·k+3) in prime factorization of n. A72028