Properties of the Number 72996

Seventy-Two Thousand Nine Hundred Ninety-Six

Basics

Value: 72995 → 72996 → 72997

Parity: even

Prime: No

Previous Prime: 72977

Next Prime: 72997

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 × 11 × 79

Divisors: 1, 2, 3, 4, 6, 7, 11, 12, 14, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001110100100100

Octal: 216444

Duodecimal: 362B0

Hexadecimal: 11d24

Square: 5328416016

Square Root: 270.17771928861936

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

Numbers k such that the three second-degree cyclotomic polynomials x² + 1, x² - x + 1 and x² + x + 1 are simultaneously prime when evaluated at x=k. A87277

Least k such that p = k² + 1 and q = (k+2n)² + 1 are two consecutive prime numbers of the same form with q - p square. A339008

Integers k such that there exists an integer 0<m<k such that (1/σ(m)² + 1/σ(k)²)*(m+k)² = 1. A383964

Number of nonnegative solutions of x1² + x2² + ... + x12² = n. A45853

a(n) = (n/2)*∑_k=1..n C(n + k, n)*C(k, n - k)/k. A298700

Number of (n+2)X3 binary arrays with every 2X2 subblock sum equal to some diagonal or antidiagonal neighbor 2X2 subblock sum. A187932

Coefficient of the highest power of q in the expansion of ν(0)=1, ν(1)=b and for n>=2, ν(n)=b*ν(n-1)+λ*(n-1)_q*ν(n-2) with (b,λ)=(2,1), where (n)_q=(1+q+...+q^n-1) and q is a root of unity. A72996