Properties of the Number 73200

Seventy-Three Thousand Two Hundred

Basics

Value: 73199 → 73200 → 73201

Parity: even

Prime: No

Previous Prime: 73189

Next Prime: 73237

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 ² × 61

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001110111110000

Octal: 216760

Duodecimal: 36440

Hexadecimal: 11df0

Square: 5358240000

Square Root: 270.55498516937365

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

Triangle in which the g.f. for row n is [∑_k>=0 C(n+k-1,k)³*x^k]*(1-x)³ⁿ⁺¹, read by rows of k=0..2n terms. A181544

Triangle T such that row n of Tⁿ = row n of (I+D)^n² where D is the lower diagonal matrix: D(n+1,n)=n+1, and I is the identity matrix. A173210

Sum of three solutions of the Diophantine equation x² - y² = z³. A85409

Column 1 of triangle A173210. A173212

Triangle read by rows: T(n,k) is the number of patterns of length n with all distinct runs and maximum value k. A351640

a(n) = ∑_k=1..n μ(k) * (floor(n/k)⁴ - floor((n-1)/k)⁴). A344597

Sum of divisors of n and product of divisors of n are both perfect cubes. A244428

Number of n X 3 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A280599

Number of permutations of 8 indistinguishable copies of 1..n with exactly 2 adjacent element pairs in decreasing order. A151658

Numbers in A075728 which are not one less than some prime. A179232