2172
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 5096
- Proper Divisor Sum (Aliquot Sum)
- 2924
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 720
- Möbius Function
- 0
- Radical
- 1086
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 138
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Number of partitions of n into at most 6 parts.at n=35A001402
- Number of n-step self-avoiding walks on square lattice.at n=7A001411
- Expansion of 1/((1-x^2)*(1-x^4)^2*(1-x^6)*(1-x^8)*(1-x^10)) (even powers only).at n=28A001994
- Coordination sequence T1 for Zeolite Code BOG.at n=33A008049
- Coordination sequence T1 for Zeolite Code ERI and OFF.at n=34A008093
- Coordination sequence T3 for Zeolite Code MTN.at n=28A008188
- Coordination sequence T2 for Zeolite Code RSN.at n=30A009886
- Numbers k such that C(k,3) = C(x,3) + C(y,3) is solvable.at n=46A010330
- Squares on infinite chessboard at n moves from center using a {2,3} fairy knight.at n=33A018839
- Number of solutions to c(1)*prime(2) +...+ c(n)*prime(n+1) = 0, where c(i) = +-1 for i > 1, c(1) = 1.at n=19A022897
- Number of partitions of n into 6 unordered relatively prime parts.at n=35A023026
- Number of partitions of n in which the greatest part is 6.at n=41A026812
- Maximal value of Q(n,m) (number of partitions of n into m distinct summands) for given n.at n=55A030699
- a(n) = (n - 1)*(n^2 + n - 1).at n=13A033445
- Fractional part of square root of a(n) starts with 6: first term of runs.at n=44A034112
- Coordination sequence T1 for Zeolite Code ESV.at n=31A038409
- Coordination sequence T4 for Zeolite Code ESV.at n=31A038411
- Number of partitions satisfying cn(1,5) <= cn(0,5) and cn(4,5) <= cn(0,5).at n=34A039862
- Denominators of continued fraction convergents to sqrt(910).at n=3A042759
- a(n)=(s(n)+8)/10, where s(n)=n-th base 10 palindrome that starts with 2.at n=39A043081