2210
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 4536
- Proper Divisor Sum (Aliquot Sum)
- 2326
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 768
- Möbius Function
- 1
- Radical
- 2210
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 94
- 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) = sigma_2(n): sum of squares of divisors of n.at n=46A001157
- a(n) = sigma_2(n): sum of squares of divisors of n.at n=39A001157
- Number of partitions with no even part repeated; partitions of n in which no parts are multiples of 4.at n=30A001935
- a(n) = n^2 + 1.at n=47A002522
- Primitive pseudoperfect numbers.at n=37A006036
- Primitive nondeficient numbers.at n=30A006039
- Super ballot numbers: 60*(2n)!/(n!*(n+3)!).at n=9A007272
- Coordination sequence T3 for Zeolite Code ATS.at n=34A008040
- Coordination sequence T10 for Zeolite Code EUO.at n=29A008096
- Coordination sequence T2 for Zeolite Code GOO.at n=32A008112
- Coordination sequence T1 for Zeolite Code PHI.at n=34A008227
- Coordination sequence T1 for Zeolite Code -PAR.at n=33A009855
- a(n) = n*(2*n-3).at n=34A014107
- Representation of n in base of Catalan numbers (a classic greedy version).at n=40A014418
- Expansion of 1/((1-2x)(1-3x)(1-11x)).at n=3A016280
- Numerator of sum of -2nd powers of divisors of n.at n=46A017667
- Numbers whose base-2 representation is the juxtaposition of two identical strings.at n=33A020330
- Numbers whose base-4 representation is the juxtaposition of two identical strings.at n=33A020332
- Numbers whose base-8 representation is the juxtaposition of two identical strings.at n=33A020336
- a(n) = n*(11*n+1)/2.at n=20A022269