2132
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4116
- Proper Divisor Sum (Aliquot Sum)
- 1984
- 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
- 960
- Möbius Function
- 0
- Radical
- 1066
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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
- Numbers k such that phi(k) = phi(k+2).at n=34A001494
- (Presumed) solution to Waring's problem: g(n) = 2^n + floor((3/2)^n) - 2.at n=10A002804
- Coordination sequence T2 for Zeolite Code AFR.at n=35A008020
- Coordination sequence T6 for Zeolite Code BOG.at n=33A008054
- Coordination sequence T7 for Zeolite Code MFS.at n=29A008179
- Expansion of Jacobi theta constant theta_2^6 /(64q^(3/2)).at n=33A008440
- a(n) = floor(n*(n-1)*(n-2)/30).at n=41A011912
- Coordination sequence T4 for Zeolite Code CGF.at n=32A019454
- Numbers whose base-9 representation is the juxtaposition of two identical strings.at n=25A020337
- Numbers with exactly 6 2's in their ternary expansion.at n=6A023704
- n written in fractional base 5/2.at n=47A024632
- Coordination sequence T4 for Zeolite Code CGS.at n=34A027368
- Sequence satisfies T(a)=a, where T is defined below.at n=39A027592
- Molien series for group Gamma_{3,0}(2).at n=15A027632
- Numbers k such that k^2 contains only digits {2,4,5}.at n=6A031154
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 22.at n=36A031520
- a(n) = floor(10000/sqrt(n)).at n=21A033433
- Sum of squares of unitary divisors of n.at n=44A034676
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 3 (mod 4).at n=35A035548
- Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 2,1,3.at n=3A037638