2272
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4536
- Proper Divisor Sum (Aliquot Sum)
- 2264
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1120
- Möbius Function
- 0
- Radical
- 142
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
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
- 107
- 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 alkyls C_{n+15} H_{2n+10} (Anthr.) with n carbon atoms.at n=6A000648
- Number of n-input 2-output switching networks under action of complementing group on the inputs and outputs.at n=2A000838
- From a nim-like game.at n=27A003412
- Generalized Fibonacci numbers D_{n,3}.at n=13A006211
- Number of graphs with n nodes, n+2 edges and no isolated vertices.at n=5A006651
- Values of Ehrhart polynomial of dilation by 2 of Relaxed Boolean Quadric Polytope of order 3.at n=3A007772
- Number of partitions of n-set with distinct block sizes.at n=9A007837
- Coordination sequence T2 for Zeolite Code AST.at n=35A008037
- Coordination sequence T3 for Zeolite Code LIO.at n=33A008131
- Coordination sequence T1 for feldspar.at n=32A008254
- Coordination sequence T1 for Zeolite Code iRON.at n=33A009881
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly three 1's.at n=33A013650
- a(n) = n*(9*n-2).at n=16A013656
- Number of parts in all partitions of n into distinct parts.at n=33A015723
- a(n) = Sum_{k=1..n} k*floor( prime(k)/k ).at n=36A024927
- Numbers that are the sum of 4 nonzero squares in exactly 4 ways.at n=46A025360
- Expansion of (theta_3(z)*theta_3(19z) + theta_2(z)*theta_2(19z))^4.at n=15A028644
- Expansion of (theta_3(z)*theta_3(21z)+theta_2(z)*theta_2(21z))^4.at n=41A028652
- Number of ways to partition n labeled elements into pie slices of different sizes allowing the pie to be turned over.at n=9A032219
- Coordination sequence T3 for Zeolite Code SBT.at n=38A033614