Properties of the Number 72338

Seventy-Two Thousand Three Hundred Thirty-Eight

Basics

Value: 72337 → 72338 → 72339

Parity: even

Prime: No

Previous Prime: 72337

Next Prime: 72341

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 7 × 5167

Divisors: 1, 2, 7, 14, 5167, 10334, 36169, 72338

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101010010010

Octal: 215222

Duodecimal: 35A42

Hexadecimal: 11a92

Square: 5232786244

Square Root: 268.95724567298794

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

Expansion of 1/(1 - ∑_k>=2 floor(1/ω(k))*x^k), where ω(k) is the number of distinct prime factors (A001221). A280195

Number of compositions (ordered partitions) of n into parts with an odd number of distinct prime divisors. A286224

Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1), U=(1,2), or d=(1,-1) and have k triple descents (i.e., ddd's). A108443

Number of compositions (ordered partitions) of n into parts having the same number of distinct prime divisors as n. A301332

Number of perfect squares in the half-open interval [π^n-1, πⁿ). A306604

4th diagonal of triangle in A255494. A255497

Number of nX6 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,1,0,3,4 for x=0,1,2,3,4. A196434

EULER transform of A002620 (with the initial 0,0,1 omitted). A72338