Properties of the Number 46071

Forty-Six Thousand Seventy-One

Basics

Value: 46070 → 46071 → 46072

Parity: odd

Prime: No

Previous Prime: 46061

Next Prime: 46073

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5119

Divisors: 1, 3, 9, 5119, 15357, 46071

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001111110111

Octal: 131767

Duodecimal: 227B3

Hexadecimal: b3f7

Square: 2122537041

Square Root: 214.6415616790001

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 + n·x^d/d) ). A205476

E.g.f. satisfies: A(x) = exp( 1/A(x)³ * Integral A(x)⁸ dx ). A232692

a(n) = ∑_{i=2..n-1, j=1..i-1, gcd(i,j)=1} (n-i)*(n-j). A332612

a(n) = n! * [xⁿ] log(1 + ∑_k>=1 kⁿ*x^k/k!). A320939

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={-1,1,2}. A79984

Square array A(n,k), n >= 1, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. log(1 + ∑_j>=1 j^k * x^j/j!). A308484

Triangle of nonzero quadratic residues mod n. A46071