Properties of the Number 73998

Seventy-Three Thousand Nine Hundred Ninety-Eight

Basics

Value: 73997 → 73998 → 73999

Parity: even

Prime: No

Previous Prime: 73973

Next Prime: 73999

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 4111

Divisors: 1, 2, 3, 6, 9, 18, 4111, 8222, 12333, 24666

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010000100001110

Octal: 220416

Duodecimal: 369A6

Hexadecimal: 1210e

Square: 5475704004

Square Root: 272.0257340767597

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

Consider the nontrivial zeros of the Riemann ζ function on the critical line 1/2 + i·t and the gap, or first difference, between two consecutive such zeros; a(n) is the lesser of the two zeros at a place where the gap attains a new minimum. A254297

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + n, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A294546

Number of partitions of n with up to ten distinct kinds of 1. A320697

a(n) = round( (sqrt n)^{sqrt n} ). A94054

Multiplicity of highest weight (or singular) vectors associated with character chi₁₁₈ of Monster module. A34506

a(n) = floor(sqrt(n)^sqrt(n)). A94092

Number of strings of length n over GF(4) with trace 1 and subtrace 1. A73998