3197
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3360
- Proper Divisor Sum (Aliquot Sum)
- 163
- 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
- 3036
- Möbius Function
- 1
- Radical
- 3197
- 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
- 74
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n in which no parts are multiples of 3.at n=36A000726
- a(n) = floor(n*phi^10), where phi is the golden ratio, A001622.at n=26A004925
- Second pentagonal numbers: a(n) = n*(3*n + 1)/2.at n=46A005449
- Coordination sequence T9 for Zeolite Code EUO.at n=35A008104
- A B_2 sequence: a(n) = least value such that sequence increases and pairwise sums of distinct elements are all distinct.at n=43A011185
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BRE = Brewsterite (Sr,Ba)2[Al4Si12O32].10H2O starting with a T3 atom.at n=11A019084
- Nearest integer to Gamma(n + 5/6)/Gamma(5/6).at n=7A020035
- Ceiling of Gamma(n+5/6)/Gamma(5/6).at n=7A020125
- a(n) = position of 3*(n^2) in A000408.at n=35A024800
- a(n) = least m such that if r and s in {1/2, 1/5, 1/8, ..., 1/(3n-1)} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=25A024837
- Number of plane regions after drawing (in general position) a convex n-gon and all its diagonals.at n=16A027927
- Multiplicity of highest weight (or singular) vectors associated with character chi_139 of Monster module.at n=37A034527
- Concatenations C1 and C2 are both prime (see the comment lines).at n=39A034816
- Number of partitions of n into parts 6k+2 or 6k+4.at n=72A035385
- Numbers of the form m*(6*m-1) and m*(6*m+1), where m is an integer.at n=46A036498
- Denominators of continued fraction convergents to sqrt(983).at n=6A042903
- Numbers n such that string 9,7 occurs in the base 10 representation of n but not of n-1.at n=34A044429
- Numbers n such that string 9,7 occurs in the base 10 representation of n but not of n+1.at n=34A044810
- Beginning of n consecutive quadratic residues mod A025046(n).at n=22A048282
- Second pentagonal numbers with even index: a(n) = n*(6*n+1).at n=23A049453