Properties of the Number 83873

Eighty-Three Thousand Eight Hundred Seventy-Three

Basics

Value: 83872 → 83873 → 83874

Parity: odd

Prime: Yes

Previous Prime: 83869

Next Prime: 83891

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 83873

Divisors: 1, 83873

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011110100001

Octal: 243641

Duodecimal: 40655

Hexadecimal: 147a1

Square: 7034680129

Square Root: 289.60835623303416

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

Duplicate of A121370. A137908

Least number k such that (k·M(n))² + k·M(n) - 1 is prime with M(i)=i-th Mersenne prime. A121370

a(n)= least number k > a(n-1) such that k*(2^p-1)*(k*(2^p-1)+1)-1 is prime, where p = A000043(n) = Mersenne exponents. A200655

Smallest prime k such that σ(k - m) = σ(k + m) has exactly n solutions, where m > 0 and σ is A000203. A249690

Primitive abundant numbers that set a new record for number of divisors. A83873