Properties of the Number 47190

Forty-Seven Thousand One Hundred Ninety

Basics

Value: 47189 → 47190 → 47191

Parity: even

Prime: No

Previous Prime: 47189

Next Prime: 47207

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 11 ² × 13

Divisors: 1, 2, 3, 5, 6, 10, 11, 13, 15, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011100001010110

Octal: 134126

Duodecimal: 23386

Hexadecimal: b856

Square: 2226896100

Square Root: 217.23259423944648

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

Record (maximal) gaps between prime triples (p, p+4, p+6). A201596

a(n) = 10*(n+1)*binomial(n+3,5)/3. A27790

Fixed points of A153212: After a(1) = 1, numbers of the form p_i1ⁱ¹ * p_i2^i2-i1 * p_i3^i3-i2 * ... * p_ik^ik-i_k-1, where p_i's are distinct primes present in the prime factorization of n, with i1 < i2 < i3 < ... < ik, and k = A001221(n) and ik = A061395(n). A242421

a(n) = C(n)*(4·n+1) where C(n) = Catalan numbers (A000108). A51944

Unitary practical numbers that are nonsquarefree. A287173

a(n) = (n+3)*binomial(n+8, 8)/3. A53310

Ninth column (m=8) of (1,3)-Pascal triangle A095660. A95664

a(n) = 15*(n+1)*binomial(n+3,10). A27795

Expansion of (1+x·c(x²))³/sqrt(1-4·x²), c(x) the g.f. of A000108. A107232

T(n, k) = (k*(2·k+2)*(2·k+1)*(2·n-1)*binomial(2*(n-1),n-1))/(n*(n+1)*(n+2)) for n, k > 0 and T(0, 0) = 1. Triangle read by rows, for 0 <= k <= n. A337994