Properties of the Number 39712

Thirty-Nine Thousand Seven Hundred Twelve

Basics

Value: 39711 → 39712 → 39713

Parity: even

Prime: No

Previous Prime: 39709

Next Prime: 39719

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 17 × 73

Divisors: 1, 2, 4, 8, 16, 17, 32, 34, 68, 73

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101100100000

Octal: 115440

Duodecimal: 1AB94

Hexadecimal: 9b20

Square: 1577042944

Square Root: 199.2786993132984

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

a(n) = ∑_{d∣n, n/d=3 mod 4} d⁴. A50467

a(n) = ∑_i=0..n digsum₇(i)⁴, where digsum₇(i) = A053828(i). A231679

a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = a(3) = 1. A49935

Least nonnegative integer m such that n = x⁵ + y⁵ - (z³ + m³) for some nonnegative integers x,y,z with z <= m. A351375

Second right hand column of the β triangle A160480. A160483

Number of length 7+3 0..n arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth. A248544

Number of vertices of even degree in a cubic lattice n X n X n. A383585

T(n,k)=Number of length n+3 0..k arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth. A248537

a(n) = n-th prime modulo 14. A39712

Coefficients of the Pascal sequence minus the Eulerian numbers with first and last columns subtracted: f(n)=2ⁿ - 2n; q(x,n)= = (1 - x)^{n + 1}*PolyLog[ -n, x]; p(x,n) = ((q(x, n)/x - (x + 1)^{n - 1})/x - f[n] - f[n]*x^{n - 3})/x. A146750