Properties of the Number 45876

Forty-Five Thousand Eight Hundred Seventy-Six

Basics

Value: 45875 → 45876 → 45877

Parity: even

Prime: No

Previous Prime: 45869

Next Prime: 45887

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 3823

Divisors: 1, 2, 3, 4, 6, 12, 3823, 7646, 11469, 15292

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001100110100

Octal: 131464

Duodecimal: 22670

Hexadecimal: b334

Square: 2104607376

Square Root: 214.18683432928364

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

Consider a non-palindromic number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that ∑_i=1..k-1{φ(∑_j=1..i{d_j*10^j-1})} = ∑_i=1..k-1{φ(∑_j=1..i{d_k-j+1*10^i-j})} (see example below). A241503

a(n) = 2·a(n-1) - a(n-2) + 2·a(n-3), with a(0) = 2, a(1) = 2. A135541

Number of (n+2) X 4 binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals. A202441

Sum of different permutations of digits of n (leading 0's allowed). A45876