Properties of the Number 10043

Ten Thousand Forty-Three

Basics

Value: 10042 → 10043 → 10044

Parity: odd

Prime: No

Previous Prime: 10039

Next Prime: 10061

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 11 ² × 83

Divisors: 1, 11, 83, 121, 913, 10043

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100111011

Octal: 23473

Duodecimal: 598B

Hexadecimal: 273b

Square: 100861849

Square Root: 100.21476937058729

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 partitions of n that sorted in increasing order do not contain a part k in position k. A238394

Number of ordered pairs (x, y) with gcd(x, y) = 1 and 1 <= {x, y} <= 2ⁿ. A342632

G.f. satisfies: A(x) = exp( ∑_n>=1 xⁿ/n * ∏_k>=1 (1 + x^n·k*A(xⁿ)^k) ). A219232

Number of 3-element subsets of {1,...,n} whose sum has more than 3 divisors. A241564

Underline the central digit of all terms: the underlined digits reconstruct the starting sequence. This is also true if one translates the sequence in French and underlines the central letter of each word: the underlined letters spell the (French) sequence again. This is the lexicographically earliest sequence where repeated terms are admitted. A319718

a(n) = A083964(n)/(2n-1). A83965

a(n) = 324n - 1. A158306

Numbers of the form p² * q where p and q are primes with p < q < p². A355446

Positive numbers k such that k and 3·k are anagrams in base 9 (written in base 9). A23080

Number of partitions in parts not of the form 9k, 9k+1 or 9k-1. Also number of partitions with no part of size 1 and differences between parts at distance 3 are greater than 1. A35940