Properties of the Number 73013

Seventy-Three Thousand Thirteen

Basics

Value: 73012 → 73013 → 73014

Parity: odd

Prime: Yes

Previous Prime: 73009

Next Prime: 73019

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 73013

Divisors: 1, 73013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110100110101

Octal: 216465

Duodecimal: 36305

Hexadecimal: 11d35

Square: 5330898169

Square Root: 270.2091782304961

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

Row sums of Sheffer triangle A193685 (5-restricted Stirling2 numbers). A196834

Expansion of g/(2 - g²), where g = 1+x·g⁴ is the g.f. of A002293. A391465

Primes where the first digit equals the sum of all the other digits. A156307

Primes p such that p - m², m = 2, 4, 6, 8, are all (positive) primes. A246874

Number of set partitions of [n] such that each block has at most one even element. A363429

Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 n X 2 array. A220926

a(n) = (1/2) * ∑_k=1..n (n+k)!/(k!)². A73013