12098
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19008
- Proper Divisor Sum (Aliquot Sum)
- 6910
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5764
- Möbius Function
- -1
- Radical
- 12098
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 68
- 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) = 5*a(n-1) - a(n-2), with a(0) = 2, a(1) = 5.at n=6A003501
- Number of sensed 2-connected (nonseparable) planar maps with n edges.at n=9A006402
- a(0) = 1, a(n) = 21*n^2 + 2 for n>0.at n=24A010011
- Row 3 of A007754.at n=21A058794
- Table by antidiagonals where T(n,k) = n*T(n,k-1) - T(n,k-2) with T(n,0) = 2 and T(n,1) = n.at n=71A060964
- a(n) = 23a(n-1) - a(n-2), starting with a(0) = 2 and a(1) = 23.at n=3A090731
- A number triangle associated with the Chebyshev polynomials of the first kind.at n=48A101161
- Triangle, diagonals generated from Lucas polynomials.at n=38A118007
- a(n) = n^3 - 3*n.at n=23A121670
- Number of binary strings of length n with no substrings equal to 0011 0101 or 1010.at n=15A164504
- Number of partitions p of n such that the number of parts is not a part and max(p) - min(p) is not a part.at n=36A241385
- Least number m such that there exist exactly n pairs of numbers (a,b), 0 < a < b < m, such that a+b, a+m, and b+m are all squares.at n=20A246766
- Numbers n such that Bernoulli number B_{n} has denominator 282.at n=32A272184
- Number of nX3 0..1 arrays with every element equal to 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero.at n=8A298128
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero.at n=57A298133
- Rectangular array A: first differences of row entries of array A294099, read by antidiagonals.at n=50A298675
- Array read by antidiagonals upwards: a(i,0) = 2, i >= 0; a(i,1) = i+2, i >= 0; a(i,j) = (i+2) * a(i,j-1) - a(i,j-2), for i >= 0, j > 1.at n=51A299741
- Number of compositions of n whose circular differences are all 1 or -1.at n=47A325589
- Number of positive solutions to (x_1)^2 + (x_2)^2 + ... + (x_10)^2 <= n^2.at n=2A341429
- a(0) = 1; thereafter a(n) = 2*(6*n^2 - 3*n + 1).at n=32A386477