Properties of the Number 83505

Eighty-Three Thousand Five Hundred Five

Basics

Value: 83504 → 83505 → 83506

Parity: odd

Prime: No

Previous Prime: 83497

Next Prime: 83537

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 19 × 293

Divisors: 1, 3, 5, 15, 19, 57, 95, 285, 293, 879

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100011000110001

Octal: 243061

Duodecimal: 403A9

Hexadecimal: 14631

Square: 6973085025

Square Root: 288.97231701323915

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) = ∑_{1 <= x₁, x₂, x₃ <= n} n/gcd(x₁, x₂, x₃, n). A372952

Number of branching factorizations of the least integer of each prime signature (A025487). A366884

a(n) gives the odd leg of the second of the two Pythagorean triangles with hypotenuse A080109(n) = A002144(n)². This is the larger of the two possible odd legs. A253804

Number of length-4 0..n arrays with no adjacent pair x,x+1 repeated. A269657

Primitive elements of A065607. A120692

a(n) = (9·n⁴+10·n³-3·n²-4·n)/12. A172045

Number of length n arrays of permutations of 0..n-1 with each element moved by -4 to 4 places and exactly one more element moved upwards than downwards. A263760

Erroneous version of A027428. A83505