Properties of the Number 47937

Forty-Seven Thousand Nine Hundred Thirty-Seven

Basics

Value: 47936 → 47937 → 47938

Parity: odd

Prime: No

Previous Prime: 47933

Next Prime: 47939

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 19 × 29 ²

Divisors: 1, 3, 19, 29, 57, 87, 551, 841, 1653, 2523

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011101101000001

Octal: 135501

Duodecimal: 238A9

Hexadecimal: bb41

Square: 2297955969

Square Root: 218.94519862285173

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

G.f. satisfies: A(x) = 1/(1-x) * A(x²)*A(x³)*A(x⁴)*...*A(xⁿ)*... A129374

a(n) = (2·n - 1)*n². A15237

Numbers k such that there are precisely 6 groups of orders k and k + 1. A295992

Number of 2 X 2 matrices having all elements in {-n,..,0,..,n} with determinant = permanent. A280059

a(n) = ((p-1)³ - (p-1)²)/4 where p is the n-th prime. A331764

Number of 2 X 2 matrices over Z_n whose permanent equals their determinant. A345754

Number of nonisomorphic groups with orders indexed by least prime signatures. A98887

Number of 2-colorings of an n X n grid, up to rotational symmetry. A47937

Number of iterations of the map k -> A000001(k) needed to reach 1 starting at n, or -1 if no such number exists. A72410