Properties of the Number 51597

Fifty-One Thousand Five Hundred Ninety-Seven

Basics

Value: 51596 → 51597 → 51598

Parity: odd

Prime: No

Previous Prime: 51593

Next Prime: 51599

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 7 ² × 13

Divisors: 1, 3, 7, 9, 13, 21, 27, 39, 49, 63

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100100110001101

Octal: 144615

Duodecimal: 25A39

Hexadecimal: c98d

Square: 2662250409

Square Root: 227.14973035423134

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 cannot be partitioned into a set (or multiset) of sets with distinct sums. A381990

Composites whose prime factorization in base 5 is an anagram of the number in base 5. A260049

Numbers that are the sum of four third powers in eight or more ways. A345152

Numbers that are the sum of four third powers in exactly eight ways. A345153

a(n) = ∑_{k=0..floor(n/4)} 2^k * 3^n-3·k * binomial(k+2,2) * binomial(n-2·k,k) * binomial(n-3·k,k). A391986

Smallest number having n divisors ending with 1 or 9. A85645

a(1)=1, a(n)=a(n-1)+n² if n odd, a(n)=a(n-1)+ n³ if n is even. A140149

Smallest number having exactly n divisors ending with 3 or 7. A331082

G.f. A(x) satisfies: [xⁿ⁺¹] (1+x - x²*A(x))^n*(2·n+1) = 0, for n >= 0. A352409

Eigentriangle of A085478: T(n,k) = A085478(n,k) * A125273(k). A144250