Properties of the Number 73346

Seventy-Three Thousand Three Hundred Forty-Six

Basics

Value: 73345 → 73346 → 73347

Parity: even

Prime: No

Previous Prime: 73331

Next Prime: 73351

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 7 × 13 ² × 31

Divisors: 1, 2, 7, 13, 14, 26, 31, 62, 91, 169

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001111010000010

Octal: 217202

Duodecimal: 36542

Hexadecimal: 11e82

Square: 5379635716

Square Root: 270.8246665279956

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

G.f.: ∑_n>=0 (1 + xⁿ)ⁿ * xⁿ / (1-x)ⁿ⁺¹. A243988

Numbers other than prime powers divisible by the sum of the squares of their prime divisors. A190882

Number of (w,x,y,z) with all terms in {1,...,n} and w²<=x²+y²+z². A212093

Number of self-avoiding closed paths on an n X n grid which pass through all points on the diagonal connecting NW and SE corners. A333796

Numbers k such that (101·10^k - 17)/3 is prime. A276114

Table T(n,k) (listed antidiagonalwise in order T(0,0), T(1,0), T(0,1), T(2,0), T(1,1), ...) giving the number of rooted plane binary trees of size n and "contracted height" k. A73346