3398
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5100
- Proper Divisor Sum (Aliquot Sum)
- 1702
- 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
- 1698
- Möbius Function
- 1
- Radical
- 3398
- 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
- 61
- Smith Number
- no
- 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
- Taylor series related to one in Ramanujan's Lost Notebook.at n=21A006305
- Coordination sequence T3 for Zeolite Code SGT.at n=36A008231
- Number of 2's in n-th term of A022482.at n=30A022485
- [ 4th elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=7A025204
- Number of n-move queen paths on 8x8 board from given corner to adjacent corner.at n=4A025606
- 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 58.at n=5A031556
- First differences give (essentially) A028242.at n=30A035107
- a(n) is the smallest number such that the product a(1)a(2)...a(n) falls between a twin prime pair, starting with a(1)=2.at n=59A036014
- Number of partitions satisfying cn(0,5) + cn(1,5) <= 1 and cn(0,5) + cn(4,5) <= 1.at n=44A039850
- Numbers whose base-15 representation has exactly 4 runs.at n=7A043671
- Numbers k such that the string 8,5 occurs in the base 9 representation of k but not of k-1.at n=45A044328
- Numbers n such that string 9,8 occurs in the base 10 representation of n but not of n-1.at n=36A044430
- Numbers n such that string 9,8 occurs in the base 10 representation of n but not of n+1.at n=36A044811
- Starting positions of strings of 2 1's in the decimal expansion of Pi.at n=31A050208
- a(1) = 1; a(n+1) = 1 + sum{k|n} a(k), sum is over the positive divisors, k, of n.at n=47A068336
- Expansion of Product_{k>=1} 1/(1+2*x^k).at n=12A071109
- Intersection of A068017 and A068019: numbers n such that both sigma(n) and phi(n) are middle terms between (different) twin prime pairs.at n=37A071348
- Least non-balanced x (i.e., not in A020492) such that sigma(2n-1,x)/phi(x) is an integer.at n=22A078539
- 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=14A078540
- Terms in a specific cycle of length 29 of the map x->A098189(x).at n=5A098192