Properties of the Number 10042

Ten Thousand Forty-Two

Basics

Value: 10041 → 10042 → 10043

Parity: even

Prime: No

Previous Prime: 10039

Next Prime: 10061

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 × 5021

Divisors: 1, 2, 5021, 10042

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100111010

Octal: 23472

Duodecimal: 598A

Hexadecimal: 273a

Square: 100841764

Square Root: 100.20977996183805

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

a(n) = 1·2*3·4 - 5·6*7·8 + 9·10·11·12 - 13·14·15·16 + ... - (up to n). A319544

a(1)=1, a(2)=2; for n >= 2, a(n+1) = a(n) + sum of prime factors of a(n). A96461

Number of distinct connected planar figures that can be formed from n 1x2 rectangles (or dominoes) such that each pair of touching rectangles shares exactly one edge, of length 1, and the adjacency graph of the rectangles is a tree. A216581

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, with every occupancy equal to zero or two. A221308

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 141", based on the 5-celled von Neumann neighborhood. A279147

a(1)= 10000, a(2)= 10000; for n>2, a(n)= ( a(n-2) + a(n-1) ) (mod 20000). A96973

Number of unlabeled rooted trees with n nodes and maximal outdegree (branching factor) 8. A244404

Lesser of 2 successive squarefree semiprimes (k, k+4) sandwiching 3 consecutive nonsquarefree numbers. A363821

Numbers k such that the continued fraction for sqrt(k) has period 37. A20376

Positive numbers k such that k and 2·k are anagrams in base 8 (written in base 8). A23073