Properties of the Number 72004

Seventy-Two Thousand Four

Basics

Value: 72003 → 72004 → 72005

Parity: even

Prime: No

Previous Prime: 71999

Next Prime: 72019

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 47 × 383

Divisors: 1, 2, 4, 47, 94, 188, 383, 766, 1532, 18001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100101000100

Octal: 214504

Duodecimal: 35804

Hexadecimal: 11944

Square: 5184576016

Square Root: 268.33561075638096

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) is the number of terms in the expansion of (x+y+z)*(x²+y²+z²)*(x³+y³+z³)*...*(xⁿ+yⁿ+zⁿ). A86796

Iterates of A122237 starting from the initial value 8. A179756

Number of tatami tilings of a 3 X n grid (with monomers allowed). A180970

Numbers k such that F(k), F(k+1) and F(k+2) have the same binary weight (A000120), where F(k) is the k-th Fibonacci number (A000045). A353987

a(n) = 2·a(n-1) + 2·a(n-2) - 3·a(n-3), where a(0) = 2, a(1) = 4, a(2) = 8. A288309

Remainder when sum of squares of first n primes is divided by n-th prime. A72004