Properties of the Number 73112

Seventy-Three Thousand One Hundred Twelve

Basics

Value: 73111 → 73112 → 73113

Parity: even

Prime: No

Previous Prime: 73091

Next Prime: 73121

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 13 × 19 × 37

Divisors: 1, 2, 4, 8, 13, 19, 26, 37, 38, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110110011000

Octal: 216630

Duodecimal: 36388

Hexadecimal: 11d98

Square: 5345364544

Square Root: 270.39230758288966

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

If X₁, ..., X_n is a partition of a 2n-set X into 2-blocks then a(n) is equal to the number of 3-subsets of X containing none of X_i, (i=1,...,n). A130809

a(n) = n*(n+5)*(n+6)*(n+7)/24. A5587

Sum of the largest parts in the partitions of n into 7 parts. A308933

a(n) = C(2·2ⁿ + 2·n, n)*2ⁿ/(2ⁿ + n); a(n) = coefficient of xⁿ in Catalan(x)^2·2ⁿ. A136552

a(n) = floor( n*(n-1)*(n-2)*(n-3)/27 ). A11937

a(n) = floor(n*(n-1)*(n-2)*(n-3)/30). A11940

Denominator of sum of reciprocals of first n 5-simplex numbers A000389. A118432

Number of 2 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 neighboring 1s. A297432

Expansion of ∏_k>=2 (1 - x^k)^k. A298599

Numerator of sum of reciprocals of first n 5-simplex numbers A000389. A118431