Properties of the Number 52705

Fifty-Two Thousand Seven Hundred Five

Basics

Value: 52704 → 52705 → 52706

Parity: odd

Prime: No

Previous Prime: 52697

Next Prime: 52709

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 83 × 127

Divisors: 1, 5, 83, 127, 415, 635, 10541, 52705

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110111100001

Octal: 146741

Duodecimal: 26601

Hexadecimal: cde1

Square: 2777817025

Square Root: 229.57569557773314

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

Triangle read by rows: T(n,k) = number of heapable permutations of length n whose longest decreasing subsequence has length k. A390146

a(n) = ∑_{1 <= x₁, x₂ <= n} ( n/gcd(x₁, x₂, n) )³. A372950

Number of 1X6 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 1 zero-sum 6-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192693

a(n) = ∑_k=0..n((binomial(2·k,k)/(k+1)*binomial(2·n+2,n-k))). A270530

a(1) = 1; for n>1, a(n) = the smallest number p > a(n-1) such that (a(n-1)+p)/2 is a cube. A126950

Expansion of 2·x²/(1 - 2·x - 2·x² + sqrt(1 - 4·x - 4·x²)). A52705