Properties of the Number 2143

Two Thousand One Hundred Forty-Three

Basics

Value: 2142 → 2143 → 2144

Parity: odd

Prime: Yes

Previous Prime: 2141

Next Prime: 2153

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2143

Divisors: 1, 2143

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001011111

Octal: 4137

Duodecimal: 12A7

Hexadecimal: 85f

Square: 4592449

Square Root: 46.292547996410825

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

Number of flat partitions of n: partitions {a_i} with each |a_i - a_i-1| <= 1. A34296

Primes of the form 7x²+4xy+52y². A140633

Primes of the form x²+Ny², with N=102. A139643

a(n) = prime(n²). A11757

Number of permutations in S_n with longest increasing subsequence of length <= 3 (i.e., 1234-avoiding permutations); vexillary permutations (i.e., 2143-avoiding). A5802

Decimal representation of permutations of lengths 1, 2, 3, ... arranged lexicographically. A30299

a(n) = 2·a(n-1) + 7·a(n-2), with a(0) = 0, a(1) = 1. A15519

Primes of the form 16n+15. A127576

Primes whose base-5 representation also is the base-4 representation of a prime. A235615

Members of A164368 which are not Ramanujan primes. A164288