Properties of the Number 3999

Three Thousand Nine Hundred Ninety-Nine

Basics

Value: 3998 → 3999 → 4000

Parity: odd

Prime: No

Previous Prime: 3989

Next Prime: 4001

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 31 × 43

Divisors: 1, 3, 31, 43, 93, 129, 1333, 3999

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110011111

Octal: 7637

Duodecimal: 2393

Hexadecimal: f9f

Square: 15992001

Square Root: 63.23764701504951

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 number whose sum of digits is n. A51885

Partial sums of A008137. A299276

Irregular triangle read by rows where T(n,k) is the number of integer compositions of n with k weak excedances (parts on or above the diagonal), all zeros removed. A352525

a(n) = (n-1)*(2·n+5). A130861

Numbers in which 9 outnumbers all other digits together. A292739

Numbers that are palindromic in bases 2 and 6. A182233

Lucas 8-step numbers. A105754

T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222573

Total number of vertices in graph formed by the straight line segments connecting the edges of an equilateral triangle with the n-1 points resulting from a subdivision of the sides into n equal pieces, counting coinciding intersection points only once. A331782

Intrinsic 12-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base. A60949