Properties of the Number 73361

Seventy-Three Thousand Three Hundred Sixty-One

Basics

Value: 73360 → 73361 → 73362

Parity: odd

Prime: Yes

Previous Prime: 73351

Next Prime: 73363

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 73361

Divisors: 1, 73361

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001111010010001

Octal: 217221

Duodecimal: 36555

Hexadecimal: 11e91

Square: 5381836321

Square Root: 270.85235830614437

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

Least q > 0 such that min { x >= 0 | q + prime(n)*x + x² is composite } is a (local) maximum, cf. A273756 & A273770. A273595

Least p for which min { x >= 0 | p + (2n+1)*x + x² is composite } reaches the (local) maximum given in A273770. A273756

Primes p such that p+2, p² - 2p + 2, and p² - 2p + 4 are all prime. A101315

Expansion of exp(x)/(1 - x - x²/2!), where a(n) = 1 + n·a(n-1) + C(n,2)*a(n-2). A128230

a(n) is the smallest lesser of twin prime p, such that prime(2 + p) - prime(p) = 2n (cf. A096474). A96475

Numbers n such that triangular numbers T(n), T(n+1) and T(n+2) are 3-almost primes. A255200

Primes 8k + 1 at the end of the maximal gaps in A269424. A269426

6·a(n) is the gap between sexy prime triples in the n-th sexy prime triple triple whose initial term is 5. A90775

Number of base 11 circular n-digit numbers with adjacent digits differing by 6 or less. A125399

Nested floor product of n and fractions (k+1)/k for all k>0 (mod 4), divided by 4. A73361