Properties of the Number 73300

Seventy-Three Thousand Three Hundred

Basics

Value: 73299 → 73300 → 73301

Parity: even

Prime: No

Previous Prime: 73291

Next Prime: 73303

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 ² × 733

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 733

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001111001010100

Octal: 217124

Duodecimal: 36504

Hexadecimal: 11e54

Square: 5372890000

Square Root: 270.7397274136177

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

Number of integer partitions of n of whose permutations do not all have distinct runs. A351203

T(n,k)=Number of nXk 0..2 arrays with no element equal to the sum modulo 3 of elements to its left or elements above it. A238726

Volume of Johnson square pyramid placed upright on cube (rounded down) with edge lengths equal to n. A227221

Number of nX4 0..2 arrays with no element equal to the sum modulo 3 of elements to its left or elements above it. A238722

G.f.: ∑_n>=0 xⁿ / ∏_k=n..2·n-1 (1 - k·x). A249636

a(n) = ∑_k=0..n k·A000009(k). A270105

Square array read by antidiagonals of number of length k walks on an n-dimensional hypercubic lattice starting at the origin and staying in the nonnegative part. A64044

If n=pqr...st in ternary, a(n)=value of the continuant [p,q,r,...,s,t]. A73300