Properties of the Number 4405

Four Thousand Four Hundred Five

Basics

Value: 4404 → 4405 → 4406

Parity: odd

Prime: No

Previous Prime: 4397

Next Prime: 4409

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 881

Divisors: 1, 5, 881, 4405

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1000100110101

Octal: 10465

Duodecimal: 2671

Hexadecimal: 1135

Square: 19404025

Square Root: 66.37017402418047

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

Triangle T by rows: second differences of Motzkin triangle (A026300), (i >= -1, -1<=j<=i). A26120

a(n) = ∑_k=1..n k·d(k) where d(k) is the number of divisors of k. A143127

a(n) = least k such that the remainder when 28^k is divided by k is n. A128368

Number of proper divisors of n-th even perfect number. A133033

T(n,k)=Number of (n+4)X(k+4) 0..1 matrices with each 5X5 subblock idempotent. A224690

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255091

The number of closed λ calculus terms of size n, where size(λ x.M)=2+size(M), size(M N)=2+size(M)+size(N), and size(V)=1+i for a variable V bound by the i-th enclosing λ (corresponding to a binary encoding). A114852

a(n) = r·a(ceiling(n/2))+s·a(floor(n/2)) with a(1)=1 and (r,s)=(2,3). A268525

a(n) = maximal cycle size in range [2^n-1,(2ⁿ)-1] of permutation A209861/A209862. A209865

Numbers that are the sum of ten fourth powers in five or more ways. A345598