Properties of the Number 51702

Fifty-One Thousand Seven Hundred Two

Basics

Value: 51701 → 51702 → 51703

Parity: even

Prime: No

Previous Prime: 51691

Next Prime: 51713

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 1231

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 1231, 2462

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100100111110110

Octal: 144766

Duodecimal: 25B06

Hexadecimal: c9f6

Square: 2673096804

Square Root: 227.3807379704798

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 noncommutative symmetric polynomials of degree n that have exactly k different variables appearing in each monomial and which generate the algebra of all noncommutative symmetric polynomials (n >= 1, 1 <= k <= n). A55105

Triangle T(k,n) giving number of symmetric polynomials of degree n in k noncommuting variables, n >=2, 2 <= k <= n. A55107

Triangle T(n,k) giving number of symmetric polynomials of degree n in k noncommuting variables, n >=2, 2 <= k <= n. A55106

G.f. A(x) satisfies A(x) = 1 + x·A(x)⁵ / (1 - x·A(x)³). A365193

a(n) = A194588(n) - A005043(n); complementary Riordan numbers. A194589

Expansion of ∏_k>=0 ((1+x^4·k+1)/(1-x^4·k+1))³. A261652

Numbers k such that the last 9 digits of the k-th Lucas number are 1-9 pandigital. A216488

a(1) = 1; a(n) = ∑_k=1..n-1 ceiling(n/k) * a(k). A333494

Distance from n-th prime to closest prime. A51702

Trajectory of 34 under the "multiply with zero" rules explained in the Comments section. A365993