Properties of the Number 84075

Eighty-Four Thousand Seventy-Five

Basics

Value: 84074 → 84075 → 84076

Parity: odd

Prime: No

Previous Prime: 84067

Next Prime: 84089

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 ² × 19 × 59

Divisors: 1, 3, 5, 15, 19, 25, 57, 59, 75, 95

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100001101011

Octal: 244153

Duodecimal: 407A3

Hexadecimal: 1486b

Square: 7068605625

Square Root: 289.9568933479596

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

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * ∑_j=0..n k^n-j * (n-j)^j/j!. A351761

Expansion of e.g.f. 1/(1 - 3·x*exp(x)). A351763

If n==0 (mod 3) then a(n)=a(n-1); if n==1 (mod 3) then a(n)=a(n-2)+a(n-3); if n==2 (mod 3) then a(n)=a(n-3)+a(n-4)+a(n-5). A104204

Number of nX3 0..2 black square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j). A230658

Length of list created by n substitutions k -> Range( -abs(k+1), abs(k-1), 2) starting with {1}. A84075