9843
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13968
- Proper Divisor Sum (Aliquot Sum)
- 4125
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6144
- Möbius Function
- -1
- Radical
- 9843
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 73
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Integer part of Gamma(n+5/9)/Gamma(5/9).at n=8A020066
- a(n) = n*(17*n + 1)/2.at n=34A022275
- Molien series for group Gamma_{3,0}(2).at n=20A027632
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 99.at n=3A031597
- Split positive integers into extending even groups and sum: 1+2, 3+4+5+6, 7+8+9+10+11+12, 13+14+15+16+17+18+19+20, ...at n=17A061317
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 23 (most significant digit on right).at n=23A061952
- Number of vertices in Sierpiński triangle of order n.at n=8A067771
- Centered 14-gonal numbers.at n=37A069127
- The terms of A055235 (sums of two powers of 3) divided by 2.at n=46A073216
- A card-arranging problem: values of n such that there exists a permutation p_1, ..., p_n of 1, ..., n such that i + p_i is a fifth power for every i.at n=36A096906
- a(n) = 3*a(n-1) + a(n-2) - 3*a(n-3).at n=9A103425
- a(n) = (n^3 - 7*n + 12)/6.at n=38A105163
- Numbers k such that the sum of the digits of (k^k + k!) is divisible by k.at n=19A109663
- a(1)=1; then successively add 1, divide by 2, add 2 and then total up the last 4 terms.at n=35A112027
- a(0) = 2, a(n) = 3*a(n-1) - 3.at n=9A115098
- Numbers k such that k and k^2 use only the digits 3, 4, 6, 8 and 9.at n=15A137129
- Number of binary strings of length n with equal numbers of 0001 and 1001 substrings.at n=15A164162
- a(n) = (3/2)*(1+(-3)^(n-1)).at n=9A165553
- a(n) = n*(n^8+1)/2.at n=3A168116
- Partial sums of A106116.at n=43A173112