Properties of the Number 73845

Seventy-Three Thousand Eight Hundred Forty-Five

Basics

Value: 73844 → 73845 → 73846

Parity: odd

Prime: No

Previous Prime: 73823

Next Prime: 73847

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 547

Divisors: 1, 3, 5, 9, 15, 27, 45, 135, 547, 1641

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010000001110101

Octal: 220165

Duodecimal: 36899

Hexadecimal: 12075

Square: 5453084025

Square Root: 271.74436516697085

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

Let p = n-th prime == 3 mod 8; a(n) = sum of quadratic residues mod p. A282723

Solution of the complementary equation a(n) = 3·a(n-1) + b(n-1) - 1, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A295134

Expansion of e.g.f. (1/2)*(x²*exp(x))*(cosh(x))². A373065

a(n) = 2·a(n-1) + a(n-2) + n. A117585

a(1)=a(2)=1, a(n+2)=a(n+1)+a(n)+(-2)ⁿ. A73845