Properties of the Number 38012

Thirty-Eight Thousand Twelve

Basics

Value: 38011 → 38012 → 38013

Parity: even

Prime: No

Previous Prime: 38011

Next Prime: 38039

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 13 × 17 × 43

Divisors: 1, 2, 4, 13, 17, 26, 34, 43, 52, 68

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001010001111100

Octal: 112174

Duodecimal: 19BB8

Hexadecimal: 947c

Square: 1444912144

Square Root: 194.9666638171767

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

Smallest even k such that the pair {k-3,k-1} is not a twin prime pair and lpf(k-1) > lpf(k-3) >= prime(n), where lpf = least prime factor (A020639). A242720

G.f.: 1/(1 - x/(1 - x⁴/(1 - x⁹/(1 - x¹⁶/(1 - x²⁵/(1 - x³⁶/(1 -...- x^n²/(1 -...))))))), a continued fraction. A206739

a(0) = 1; a(n) = ∑_{1 <= k <= n and k∣n} a(n-k). A67951

Square roots of terms in A065611. A65612

a(n) = 225·n² - n. A156813

a(n) = 169·n² - 13. A158550

a(n) = n*(n+1)*(n+2)*(n+3)*(n+4)*(n²+4·n+37)/5040. A257201

Nonnegative values·of solutions (x, y) to the Diophantine equation x² + (x+84847)² = y². A201917

Number of (n+2) X (3+2) 0..1 arrays with no 3·3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 1 and no column sum 1. A257442

Number of length-4 0..n arrays with no repeated value differing from the previous repeated value by one or less. A269607