Properties of the Number 9842

Nine Thousand Eight Hundred Forty-Two

Basics

Value: 9841 → 9842 → 9843

Parity: even

Prime: No

Previous Prime: 9839

Next Prime: 9851

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 7 × 19 × 37

Divisors: 1, 2, 7, 14, 19, 37, 38, 74, 133, 259

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10011001110010

Octal: 23162

Duodecimal: 5842

Hexadecimal: 2672

Square: 96864964

Square Root: 99.20685460188726

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) = (3ⁿ + 1)/2. A7051

a(n) = (n-1)*n*(n+4)/6. A5581

Number of reduced words of length n in the Weyl group D₃₈. A162392

Array read by antidiagonals downwards: T(b,n) = number of words of length n over an alphabet of size b that are in standard order. A278984

Number of set partitions with at most 3 blocks; number of Dyck paths of height at most 4; dimension of space of symmetric polynomials in 3 noncommuting variables. A124302

Dispersion of (3·n-1), read by antidiagonals. A191450

Permutation of natural numbers, the even bisection of A241909 incremented by one and halved; equally, a composition of A241909 and A048673: a(n) = A048673(A241909(n)). A243066

Square array A by downward antidiagonals: A(n,k) = (3 + 3ⁿ*(2·floor(3·k/2) - 1))/6, n,k >= 1; read as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ... A254051

Third step in Goodstein sequences, i.e., g(5) if g(2)=n: write g(4)=A057650(n) in hereditary representation base 4, bump to base 5, then subtract 1 to produce g(5). A59934

Array A read by diagonals; n-th difference of (A(k,n), A(k,n-1),..., A(k,0)) is (k+2)^n-1, for n=1,2,3,...; k=0,1,2,... A47848