Properties of the Number 73728

Seventy-Three Thousand Seven Hundred Twenty-Eight

Basics

Value: 73727 → 73728 → 73729

Parity: even

Prime: No

Previous Prime: 73727

Next Prime: 73751

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ¹³ × 3 ²

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010000000000000

Octal: 220000

Duodecimal: 36800

Hexadecimal: 12000

Square: 5435817984

Square Root: 271.5290039756342

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

a(n) = 9·2ⁿ. A5010

Number of invertible 2 X 2 matrices mod n. A252

15-almost primes (generalization of semiprimes). A69276

Let b(n) equal the product of the exponents in the prime factorization of n. Then a(n) gives the least k such that b(k) = n. A85629

Numbers of the form 3·2^k or 9·2^k. A354785

Hadamard maximal determinant problem: largest determinant of (+1,-1)-matrix of order n. A3433

Expansion of (1-x+4·x²)/(1-2·x)². A167667

T(n,k)=Number of length n+3 0..k arrays with some pair in every consecutive four terms totalling exactly k. A245950

a(n) = 4ⁿ*Lucas(n), where Lucas = A000032. A127211

Sum of the partition parts of 3n into 3 parts. A235988