3198
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7056
- Proper Divisor Sum (Aliquot Sum)
- 3858
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 960
- Möbius Function
- 1
- Radical
- 3198
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 74
- 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
- a(n) = round(n*phi^10), where phi is the golden ratio, A001622.at n=26A004945
- a(n) = ceiling(n*phi^10), where phi is the golden ratio, A001622.at n=26A004965
- Number of loopless rooted planar maps with 3 faces and n vertices and no isthmuses. Also a(n)=T(4,n-3), array T as in A049600.at n=23A006416
- Coordination sequence T1 for Zeolite Code AST.at n=42A008036
- Coordination sequence T1 for Zeolite Code MEI.at n=41A008146
- a(n) = floor( n*(n-1)*(n-2)/20 ).at n=41A011902
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18).at n=65A017894
- Numbers whose base-3 representation is the juxtaposition of two identical strings.at n=38A020331
- Numbers whose base-9 representation is the juxtaposition of two identical strings.at n=38A020337
- Convolution of Lucas numbers and A001950.at n=10A023622
- Self-convolution of (1, p(1), p(2), ...).at n=15A023626
- Sum{T(n-k,k)}, 0<=k<=[ n/2 ], T given by A026703.at n=15A026713
- Numbers whose set of base-9 digits is {3,4}.at n=24A032833
- Coordination sequence T2 for Zeolite Code TSC.at n=47A033617
- Number of partitions in parts not of the form 13k, 13k+1 or 13k-1. Also number of partitions with no part of size 1 and differences between parts at distance 5 are greater than 1.at n=37A035949
- Sums of 6 distinct powers of 3.at n=21A038468
- Period of n-countdown club-passing juggling pattern.at n=38A039720
- Numbers n such that string 9,8 occurs in the base 10 representation of n but not of n-1.at n=34A044430
- Numbers n such that string 9,8 occurs in the base 10 representation of n but not of n+1.at n=34A044811
- Number of partitions of n with equal number of parts congruent to each of 1, 2 and 3 (mod 4).at n=48A046769