12198
domain: N
Properties
Digital Properties
- Digit Count
- 5
- 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
- 25920
- Proper Divisor Sum (Aliquot Sum)
- 13722
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3816
- Möbius Function
- 1
- Radical
- 12198
- 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
- 125
- 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
- Semi-meanders: number of ways a semi-infinite directed curve can cross a straight line n times.at n=11A000682
- Least number of Sort-then-add persistence n.at n=36A033863
- Least number of Sort-then-add persistence n.at n=36A033908
- Numerators of continued fraction convergents to sqrt(561).at n=8A042074
- McKay-Thompson series of class 42a for Monster.at n=50A058675
- Number of distinct values of multinomial coefficients ( n / (p1, p2, p3, ...) ) where (p1, p2, p3, ...) runs over all partitions of n.at n=42A070289
- Multiples of 19 containing a 19 in their decimal representation.at n=24A121039
- a(n) = 81*n^2 - 118*n + 43.at n=13A156677
- The Eta triangle.at n=18A160464
- Number of 3-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on an n X n board summed over all starting positions.at n=28A187298
- Numbers n such that if x=sigma(n)-tau(n)-n then n=sigma(x)-tau(x)-x.at n=18A238227
- Triangle read by rows: T(n,m) = Sum_{k=0..n} C(k-1,m-1)*C(k,m-1)*C(n+k-1,n-k)/m.at n=30A257142
- Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 or 00000011.at n=6A259719
- Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 or 00000011.at n=3A259722
- Number of self-avoiding polygons with perimeter 2*n and sides = 1 that have vertex angles from the set 0, +-Pi/4, +-Pi/2, +-3*Pi/4, not counting rotations and reflections as distinct.at n=5A316198
- Number of connected induced nonempty non-singleton subgraphs of labeled connected graphs with n vertices.at n=5A317632
- Number of integer partitions of n with no 1's such that no part is a power of any other (unequal) part.at n=50A323053
- Sum of the sixth largest parts of the partitions of n into 10 squarefree parts.at n=55A326632
- Irregular triangle read by rows: for n >= 2, 2 <= k <= floor(n/2) + 1, T(n,k) = the number of semi-meanders with n top arches, a first arch of length one and k arch groupings.at n=42A339179
- Irregular triangle read by rows: for n >= 2, 2 <= k <= floor(n/2) + 1, T(n,k) = the number of semi-meanders with n top arches, a first arch of length one and k arch groupings.at n=43A339179