Properties of the Number 4085

Four Thousand Eighty-Five

Basics

Value: 4084 → 4085 → 4086

Parity: odd

Prime: No

Previous Prime: 4079

Next Prime: 4091

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 19 × 43

Divisors: 1, 5, 19, 43, 95, 215, 817, 4085

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 111111110101

Octal: 7765

Duodecimal: 2445

Hexadecimal: ff5

Square: 16687225

Square Root: 63.914004725099176

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

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={0,2,3}. A79955

a(n) = a(n-1) + a(n-5); a(0) = ... = a(4) = 1. A3520

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231396

Numbers that contain the product of any two adjacent digits as a substring, and have at least one pair of adjacent digits > 1. A203566

Expansion of 1/(1 -x⁵ -x⁶ -x⁷ - ...). A17899

Odd interprimes not divisible by 3. A72573

Number A(n,k) of 3n-length k-ary words, either empty or beginning with the first letter of the alphabet, that can be built by repeatedly inserting triples of identical letters into the initially empty word; square array A(n,k), n>=0, k>=0, by antidiagonals. A213027

Number of unordered pairs of partitions of n with no common parts. A260669

Greatest number (in decimal representation) with n nonprime substrings in binary representation (substrings with leading zeros are considered to be nonprime). A217112

Dispersion of A055938; starting from its complementary sequence A005187 as the first column of square array A(row,col), read by antidiagonals A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ... A254105