Properties of the Number 35998

Thirty-Five Thousand Nine Hundred Ninety-Eight

Basics

Value: 35997 → 35998 → 35999

Parity: even

Prime: No

Previous Prime: 35993

Next Prime: 35999

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 × 41 × 439

Divisors: 1, 2, 41, 82, 439, 878, 17999, 35998

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110010011110

Octal: 106236

Duodecimal: 189BA

Hexadecimal: 8c9e

Square: 1295856004

Square Root: 189.73138907413292

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 numbers k in interval [(p_n)²+1, (p_n)⁴] for which lpf(k-3)>lpf(k-1)>=p_n, where p_n=prime(n) and lpf = A020639. A243803

The number of gaps in the set of positive integers which need at most n steps of the Collatz iteration to reach 1. A391769

Number of partitions of n with equal number of parts congruent to each of 1, 2 and 3 (mod 4). A46769

Number of partitions of n with equal nonzero number of parts congruent to each of 1, 2 and 3 (mod 4). A46781

Indices of prime Fibonacci numbers, minus 1. A69744

Numbers k such that 193·2^k+1 is prime. A32473

Expansion of 1/((1-x)(1-x-x²)(1-x-x²-x³)). A95681

G.f. satisfies A(x) = 1 - x·A(x)³ * (1 - 3·A(x)). A364825

Number of partitions of n into parts not of the form 23k, 23k+10 or 23k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 10 are greater than 1. A35998