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Properties of the Number 9942

Nine Thousand Nine Hundred Forty-Two

Basics

Value: 9941 → 9942 → 9943

Parity: even

Prime: No

Previous Prime: 9941

Next Prime: 9949

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 1657

Divisors: 1, 2, 3, 6, 1657, 3314, 4971, 9942

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10011011010110

Octal: 23326

Duodecimal: 5906

Hexadecimal: 26d6

Square: 98843364

Square Root: 99.70957827611147

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 integer partitions of n with all distinct lengths of maximal gapless runs (decreasing by 0 or 1). A384884
Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year. A14088
Number of binary words w of length n with equal numbers of 010 and 101 subwords such that for every prefix of w the number of occurrences of subword 101 is larger than or equal to the number of occurrences of subword 010. A260697
Irregular table read by rows: Take a Reuleaux triangle with all diagonals drawn, as in A340639. Then T(n,k) = number of k-sided polygons in that figure for k >= 3. A340614
Numbers k such that x = 2k-2 satisfies φ(x)+2 = φ(x+2). A50475
6 times centered hexagonal numbers: 18·n*(n+1) + 6. A164016
Triangle of coefficients of polynomials u(n,x) jointly generated with A209418; see the Formula section. A209417
Number of (w,x,y) with all terms in {0,...,n} and |w-x|+|x-y|+|y-w| <= w+x+y. A213487
E.g.f. satisfies: A(x) = x*(exp(sinh(A(x)))). A134200
Let M be the matrix defined in A111490. Sequence gives M(2,1)-M(1,2), M(2,1)+M(3,1)+M(3,2)-M(1,2)-M(1,3)-M(2,3), etc. A123329