2198
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3792
- Proper Divisor Sum (Aliquot Sum)
- 1594
- 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
- 936
- Möbius Function
- -1
- Radical
- 2198
- 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
- 32
- Smith Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of partitions of n into prime parts.at n=61A000607
- a(n) = n^3 + 1.at n=14A001093
- Triangle read by rows: T(n,k) = number of permutations of length n with exactly k rising or falling successions, for n >= 1, 0 <= k <= n-1.at n=32A001100
- sigma_3(n): sum of cubes of divisors of n.at n=12A001158
- Expansion of 8-dimensional cusp form.at n=13A002408
- Numbers that are the sum of 12 positive 7th powers.at n=13A003379
- a(n) = ceiling(1000*log(n)).at n=8A004242
- Number of index n subgroups of modular group PSL_2(Z).at n=13A005133
- Representation degeneracies for Neveu-Schwarz strings.at n=13A005298
- x^3 + n*y^3 = 1 is solvable.at n=43A005988
- Fourier coefficients of E_{infinity,4}.at n=13A007331
- Coordination sequence T3 for Zeolite Code AFS and BPH.at n=36A008025
- a(n) = Sum_{ d >= 1, d divides n} (-1)^(n-d)*d^3.at n=12A008457
- If a, b in sequence, so is ab+10.at n=16A009368
- Coordination sequence T1 for Zeolite Code RTE.at n=32A009890
- exp(tan(x)+log(x+1))=1+2*x+3/2!*x^2+6/3!*x^3+21/4!*x^4+82/5!*x^5...at n=7A012924
- Numerator of sum of -3rd powers of divisors of n.at n=12A017669
- Integers k such that abs(e^(Pi*sqrt(n)) - k) < 0.01 for some n.at n=2A019297
- Pseudoprimes to base 99.at n=29A020227
- a(n) = Sum_{k>=1} floor(tau^(n-k)) where tau is A001622.at n=14A020956