Properties of the Number 72486

Seventy-Two Thousand Four Hundred Eighty-Six

Basics

Value: 72485 → 72486 → 72487

Parity: even

Prime: No

Previous Prime: 72481

Next Prime: 72493

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 4027

Divisors: 1, 2, 3, 6, 9, 18, 4027, 8054, 12081, 24162

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101100100110

Octal: 215446

Duodecimal: 35B46

Hexadecimal: 11b26

Square: 5254220196

Square Root: 269.23224175421484

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

Number of Feynman diagrams (vanishing and non-vanishing) of order 2n for the proper self-energy function of quantum electrodynamics (QED). A115974

Triangle, read by rows, defined by: T(n,k) = ∑_j=0..n-k-1 T(j+k,k)*T(n-j,k+1) for n > k >= 0, with T(n,n) = n+1. A127058

a(n) = (∑_k=0..n-1 (1435·k+113)*3240^n-1-k*T_k(7,1)*T_k(10,10)²)/(n·10^n-1), where T_k(b,c) denotes the coefficient of x^k in the expansion of (x²+b·x+c)^k. A329105

a(1) = 1, a(n) = a(n-1) times smallest prime factor of n. A72486

Number of n X 4 0..1 arrays with every element equal to 1, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A299524