Properties of the Number 73829

Seventy-Three Thousand Eight Hundred Twenty-Nine

Basics

Value: 73828 → 73829 → 73830

Parity: odd

Prime: No

Previous Prime: 73823

Next Prime: 73847

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 7 × 53 × 199

Divisors: 1, 7, 53, 199, 371, 1393, 10547, 73829

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010000001100101

Octal: 220145

Duodecimal: 36885

Hexadecimal: 12065

Square: 5450721241

Square Root: 271.71492413925296

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 whose median appears more times than any other part, i.e., partitions containing a unique mode equal to the median. A363740

Third Moebius transform of A000219. Number of plane partitions of n whose multiset of rows is aperiodic and whose multiset of columns is also aperiodic and whose parts are relatively prime. A323585

Numbers k such that k + sopfr(k) is a cube. A389862

Numbers k such that A(k+1) = A(k) + 3, where A() = A005100() are the deficient numbers. A317046

a(n) = 4*((n-1)! + 1) + n. A73829