Properties of the Number 5998

Five Thousand Nine Hundred Ninety-Eight

Basics

Value: 5997 → 5998 → 5999

Parity: even

Prime: No

Previous Prime: 5987

Next Prime: 6007

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 × 2999

Divisors: 1, 2, 2999, 5998

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101101110

Octal: 13556

Duodecimal: 357A

Hexadecimal: 176e

Square: 35976004

Square Root: 77.44675590365293

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

Smallest even number with digit sum n. A69532

a(n) = 2·a(n-1) + n², a(0) = 0. A47520

Numbers whose least quadratic nonresidue (A020649) is 17. A25026

Numbers n such that n²+n+41 (Euler's "prime generating polynomial") is not squarefree. A97823

Smith numbers of order 2. A174460

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010001. A260207

Inverse Euler transform of {1, primes}. A30011

Numbers k such that k divides the sum of digits of all numbers from 1 to k. A114136

Rectangular array: (row n) = b**c, where b(h) = -1 + 2^h, c(h) = 2·n - 3 + 2·h, n>=1, h>=1, and ** = convolution. A213756

Smallest positive number for which the 3rd power cannot be written as sum of 3rd powers of any subset of previous terms. A321290