Properties of the Number 45771

Forty-Five Thousand Seven Hundred Seventy-One

Basics

Value: 45770 → 45771 → 45772

Parity: odd

Prime: No

Previous Prime: 45767

Next Prime: 45779

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 19 × 73

Divisors: 1, 3, 11, 19, 33, 57, 73, 209, 219, 627

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001011001011

Octal: 131313

Duodecimal: 225A3

Hexadecimal: b2cb

Square: 2094984441

Square Root: 213.94158081121117

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

a(n) = ∑_d∣n σ(n/d)*d⁴. A27848

Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,3. A37580

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically. A258522

E.g.f.: exp(-4) * ∑_n>=0 (exp(n·x) + 3)ⁿ / n!. A326435

Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 2,3,0. A37625

Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically. A258520

a(n) = (n+1)(n+2)(n+3)(2n+3)(10n² + 27n + 20)/360. A108673

Number of similar sublattices of index n² in root lattice D₄. A45771

Nonprime-power σ-perfect numbers: numbers n such that NPPSigma(n)=2·n, where, if n=Product p_i^r_i then NPPSigma(n)=Product{Sum p_i^s_i, s_i is not a prime number, 0<=s_i<=r_i}. A99723