4198
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6300
- Proper Divisor Sum (Aliquot Sum)
- 2102
- 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
- 2098
- Möbius Function
- 1
- Radical
- 4198
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 64
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Coordination sequence T2 for Zeolite Code LEV.at n=48A008128
- Coordination sequence T1 for Zeolite Code NON.at n=39A008212
- Expansion of 1/(1-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18).at n=54A017876
- Numbers k such that the continued fraction for sqrt(k) has period 62.at n=8A020401
- Expansion of 1/((1-3x)(1-4x)(1-7x)(1-9x)).at n=3A028039
- 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 64.at n=9A031562
- Numbers k such that A102489(k) is divisible by k.at n=18A032563
- Coordination sequence T1 for Zeolite Code SFF.at n=43A038437
- Numbers whose base-8 representation has exactly 5 runs.at n=26A043627
- Numbers having, in base 16, (sum of even run lengths)=(sum of odd run lengths).at n=20A044887
- Numbers k such that 233*2^k-1 is prime.at n=15A050868
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 55 ).at n=39A063328
- Total number of square parts in all partitions of n.at n=22A073336
- a(n) = Sum_{k=1..n} antisigma(k), where antisigma(i) = sum of the nondivisors of i that are between 1 and i.at n=29A076664
- Least non-balanced x (i.e., not in A020492) such that sigma(p(n),x)/phi(x) is an integer, where p(n) = n-th prime.at n=31A078540
- Triangle, read by rows, where T(n,k) = T(n,k-1) + (2*k+1)*T(n-1,k) for n>k>0, T(n,0)=1 and T(n,n) = T(n,n-1) for n>=0.at n=18A102323
- Semiprimes of the form prime(n)*prime(n+1)*prime(n+2) - 1.at n=0A103614
- Reversible Smith numbers, i.e., Smith numbers whose reversal is also a Smith number.at n=29A104171
- Smallest a(n) such that a(n) n's plus a(n) is prime, or 0 if no such a(n) exists.at n=32A108317
- Sum of the areas of the Durfee squares of all partitions of n.at n=19A116503