Properties of the Number 1893

One Thousand Eight Hundred Ninety-Three

Basics

Value: 1892 → 1893 → 1894

Parity: odd

Prime: No

Previous Prime: 1889

Next Prime: 1901

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 631

Divisors: 1, 3, 631, 1893

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101100101

Octal: 3545

Duodecimal: 1119

Hexadecimal: 765

Square: 3583449

Square Root: 43.508619835614184

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

Central polygonal numbers: a(n) = n² - n + 1. A2061

Sum of divisors of square numbers. A65764

Number of sublattices of index n in generic 3-dimensional lattice. A1001

a(n) = 4·n² - 10·n + 7. A54554

a(n) = least m such that if a/b < c/d where a,b,c,d are integers in [0,n], then a/b < k/m < c/d for some integer k. A1000

Numbers k such that k, k+1 and k+2 are products of two primes. A56809

Number of configurations of the sliding block 8-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners. A89473

Numbers k such that k, k+1 and k+2 have the same number of divisors. A5238

Triangle T(n,k), 0 <= k <= n, read by rows, defined by: T(0,0) = 1, T(n,k) = 0 if n<k, T(n,0) = T(n-1,0) + T(n-1,1) and for k >= 1: T(n,k) = T(n-1,k-1) + x·T(n-1,k) + T(n-1,k+1) with x = 3. A110877

a(n) = a(n-1) + a(n - 1 - number of even terms so far). A6336