Properties of the Number 3998

Three Thousand Nine Hundred Ninety-Eight

Basics

Value: 3997 → 3998 → 3999

Parity: even

Prime: No

Previous Prime: 3989

Next Prime: 4001

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 1999

Divisors: 1, 2, 1999, 3998

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 111110011110

Octal: 7636

Duodecimal: 2392

Hexadecimal: f9e

Square: 15984004

Square Root: 63.229739838148944

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

Spt function: total number of smallest parts (counted with multiplicity) in all partitions of n. A92269

Mian-Chowla sequence (a B₂ sequence): a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise sums of elements are all distinct. A5282

Snowflake (or E-toothpick) sequence (see Comments lines for definition). A161330

Expansion of 1/(1 - x*∏_k>=1 (1 + x^k)). A299106

Smallest even number with digit sum n. A69532

Maximum number of regions into which the plane is divided by n triangles. A77588

Matula-Goebel numbers of semi-lone-child-avoiding rooted identity trees. A331963

Number of times when an odd number is encountered, when going from 2ⁿ⁺¹-1 to (2ⁿ)-1 using the iterative process described in A071542. A218543

Number of partitions of n into 9 prime powers (including 1). A341127

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