Properties of the Number 47004

Forty-Seven Thousand Four

Basics

Value: 47003 → 47004 → 47005

Parity: even

Prime: No

Previous Prime: 46997

Next Prime: 47017

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 3917

Divisors: 1, 2, 3, 4, 6, 12, 3917, 7834, 11751, 15668

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011011110011100

Octal: 133634

Duodecimal: 23250

Hexadecimal: b79c

Square: 2209376016

Square Root: 216.8040590025934

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: exp( ∑_n>=1 xⁿ/n * ∏_d∣n (1 + d·x^n/d)^d ). A205480

G.f.: ∑_n>=0 ∏_k=1..n (q^k - 1) where q = (1+x)/(1+x²). A207397

G.f. A(x) satisfies: 1 - x = ∑_n>=0 (x^5·n + (-1)ⁿ*A(x))ⁿ. A352821

a(n) = floor(10000·log₂(n)). A4268

a(n) = round(10000·log₂(n)). A4269

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (-1, 1, 1), (0, 1, 1), (1, 0, 0)}. A149994

T(n,n-2), array T given by A047000. A47004