Properties of the Number 73683

Seventy-Three Thousand Six Hundred Eighty-Three

Basics

Value: 73682 → 73683 → 73684

Parity: odd

Prime: No

Previous Prime: 73681

Next Prime: 73693

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 2729

Divisors: 1, 3, 9, 27, 2729, 8187, 24561, 73683

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001111111010011

Octal: 217723

Duodecimal: 36783

Hexadecimal: 11fd3

Square: 5429184489

Square Root: 271.4461272517993

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 (w,x,y,z) with all terms in {1,...,n} and w·x+y·z>=n². A212132

Number of partitions of n with difference 7 between the number of odd parts and the number of even parts, both counted without multiplicity. A242698

Group the primes such that the sum of each group is a prime. Each group from the second onwards should contain at least 3 primes: (2, 3), (5, 7, 11), (13, 17, 19, 23, 29), (31, 37, 41), (43, 47, 53, 59, 61), ... This is the sequence of the leading element in each group. A73683

G.f. satisfies: A(x) = ∑_n>=0 xⁿ * ∑_k=0..n x^k * {[x^k] A(x)^3·n}. A249936