Properties of the Number 1800

One Thousand Eight Hundred

Basics

Value: 1799 → 1800 → 1801

Parity: even

Prime: No

Previous Prime: 1789

Next Prime: 1801

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 ²

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 11100001000

Octal: 3410

Duodecimal: 1060

Hexadecimal: 708

Square: 3240000

Square Root: 42.42640687119285

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

Least integer of each prime signature A124832; also products of primorial numbers A002110. A25487

a(n) = 2·n². A1105

Triangle of numbers T(n,k) = k!*Stirling2(n,k) read by rows (n >= 1, 1 <= k <= n). A19538

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

Pentagonal pyramidal numbers: a(n) = n²*(n+1)/2. A2411

a(n) = smallest integer with factorization as Product p(i)^e(i) such that Product p(e(i)) = n. A181821

Triangle of Lah numbers. A8297

Highly abundant numbers: numbers k such that σ(k) > σ(m) for all m < k. A2093

Triangle of numbers T(n,k) = k!*Stirling2(n,k) = A000142(k)*A048993(n,k) read by rows, T(n, k) for 0 <= k <= n. A131689

Coefficients of list partition transform: reciprocal of an exponential generating function (e.g.f.). A133314