10218
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 22176
- Proper Divisor Sum (Aliquot Sum)
- 11958
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3120
- Möbius Function
- 1
- Radical
- 10218
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 60
- 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) = n*(n^2 + 12*n - 25)/6.at n=36A026057
- Denominators of continued fraction convergents to sqrt(446).at n=8A041849
- Numbers k such that 267*2^k + 1 is prime.at n=30A053350
- a(n) = floor(Pi^n mod n^Pi).at n=20A066434
- Number of ways to write n as sum of prime powers p^e such that e>0 and p does not divide n.at n=52A079412
- a(n) is the minimal area of a convex lattice polygon with 2n sides.at n=40A089187
- Number of partitions of n^2 into squares not less than n.at n=35A093116
- Classification of bicyclics with the parameter 'alpha' having the value of 3. See the paper by Hendrickson and Parks for details.at n=8A125672
- Expansion of (x-5*x^2+11*x^3-12*x^4+7*x^5-2*x^6+x^7) / (1-6*x+15*x^2-20*x^3+15*x^4-6*x^5+x^6).at n=19A221948
- Sum of the two smallest parts from the partitions of 4n into 4 parts with smallest part = 1.at n=24A239059
- Poincaré series for hyperbolic reflection group with Coxeter diagram shown in Comments.at n=14A265053
- Numbers that appear in both A278909 and A280967 but not in A280971.at n=41A280972
- Number of partitions of n into prime power parts (not including 1) that do not divide n.at n=53A300580
- Number of triangular regions into which a figure made up of a row of n adjacent congruent rectangles is divided upon drawing diagonals of all possible rectangles.at n=17A324042
- Twice the total area of all (open or closed) Deutsch paths of length n.at n=8A333017
- Numbers k such that k and k+2 are both primitive practical numbers (A267124).at n=30A334882
- a(n) = Sum_{k=1..n} (A000330(n) mod k^2).at n=38A344711
- a(n) = Sum_{k=0..n} 3^(n-k) * floor(k/3).at n=11A368344