Properties of the Number 2000

Two Thousand

Basics

Value: 1999 → 2000 → 2001

Parity: even

Prime: No

Previous Prime: 1999

Next Prime: 2003

Digit Sum: 2

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 5 ³

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111010000

Octal: 3720

Duodecimal: 11A8

Hexadecimal: 7d0

Square: 4000000

Square Root: 44.721359549995796

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Integers written in factorial base. A7623

Number of integer partitions of n with distinct differences between successive parts. A325325

Powerful numbers (A001694) that are not prime powers (A000961). A286708

3-full (or cube-full, or cubefull) numbers: if a prime p divides n then so does p³. A36966

Numbers of the form 2ⁱ*5^j with i, j >= 0. A3592

Numbers k such that the k-th triangular number contains only digits {0,1,2}. A119034

Achilles numbers - powerful but imperfect: if n = Product(p_i^e_i) then all e_i > 1 (i.e., powerful), but the highest common factor of the e_i is 1, i.e., not a perfect power. A52486

Sums of two powers of 10. A52216

Numbers that are divisible by exactly 7 primes counting multiplicity. A46308

a(1)=1, a(n) = n·a(floor(n/2)). A98844

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