Properties of the Number 73120

Seventy-Three Thousand One Hundred Twenty

Basics

Value: 73119 → 73120 → 73121

Parity: even

Prime: No

Previous Prime: 73091

Next Prime: 73121

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 5 × 457

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110110100000

Octal: 216640

Duodecimal: 36394

Hexadecimal: 11da0

Square: 5346534400

Square Root: 270.4071004984891

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 of generalized Eulerian numbers T(n,k) = <n,k>_2 read by rows, n >= 1, 0 <= k < 2·n. A269742

Expansion of (1-x)/(1-2·x-2·x³). A77999

Expansion of (1 + x)/(1 + 2·x + 2·x³). A110524

Principal diagonal of the convolution array A213847. A213848

Number of nonnegative integer n X n matrices with row and column sums 2 and sum of entries below the main diagonal n - 1. A332729

a(1) = a(2) = a(3) = 1; for n>3, a(n) = a(n-1) + a(n-2) + a(n-3) iff n-1 is prime, otherwise a(n) = a(n-1) + 1. A113057

G.f.: A(x,y,z) = ∑_n>=0 ((2n)!/n!²)*[∑_k=0..2n T(n,k)*z^k]*x²ⁿ*yⁿ/(1-x-xy)⁴ⁿ⁺¹ where A(x,y,x+xy) = ∑_{n>=0, k=0..n} C(n,k)⁴*xⁿ*y^k at z = x+xy; this is the triangle of coefficients T(n,k), read by rows. A187056

Areas of Pythagorean (or right) triangles with integer sides of the form (2mn, m² - n², m² + n²). A73120