Properties of the Number 73157

Seventy-Three Thousand One Hundred Fifty-Seven

Basics

Value: 73156 → 73157 → 73158

Parity: odd

Prime: No

Previous Prime: 73141

Next Prime: 73181

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 ² × 1493

Divisors: 1, 7, 49, 1493, 10451, 73157

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110111000101

Octal: 216705

Duodecimal: 36405

Hexadecimal: 11dc5

Square: 5351946649

Square Root: 270.4755072090632

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 integer partitions of n that can be partitioned into sets with distinct sums. A381992

Number of partitions of n, with three kinds of 1,2,3 and 4 and two kinds of 5,6,7,... A711

G.f.: A(x,y) = exp( ∑_n>=1 [∑_k=0..n C(n,k)³*y^k] * xⁿ/n ) = ∑_n>=0,k=0..n T(n,k)*xⁿ*y^k, as a triangle of coefficients T(n,k) read by rows. A181143

Central coefficients of triangle A181143. A218139

G.f.: (1+2x)(1+2x+4x²)/(1-3x-8x³-8x⁴). A246038

Number of Schroeder n-paths containing no FFs. A73157