2112
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 6096
- Proper Divisor Sum (Aliquot Sum)
- 3984
- 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
- 640
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 8
- 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
- yes
- Harshad Number
- yes
- 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
- Self numbers divisible by sum of their digits (or, self numbers which are also Harshad numbers).at n=46A003219
- Numbers that are the sum of 4 positive 5th powers.at n=27A003349
- Degrees of irreducible representations of alternating group A_12.at n=29A003867
- Degrees of irreducible representations of symmetric group S_12.at n=51A003876
- Degrees of irreducible representations of symmetric group S_12.at n=52A003876
- Expansion of eta(q^10)^12/(eta(q^2)^4*eta(q^5)^8) in powers of q.at n=15A006710
- Numbers that are divisible by the product of their digits.at n=51A007602
- Number of hyperplanes spanned by the vertices of an n-cube that cover exactly n vertices.at n=4A007849
- Numbers that contain only 1's and 2's. Nonempty binary strings of length n in lexicographic order.at n=23A007931
- Coordination sequence T1 for Zeolite Code HEU.at n=30A008116
- Coordination sequence T4 for Zeolite Code HEU.at n=30A008119
- Coordination sequence T1 for Coesite.at n=24A008267
- Theta series of {D_6}^{+} lattice.at n=23A008434
- Molien series for A_10.at n=27A008633
- Number of partitions of n into at most 10 parts.at n=27A008639
- a(n) = floor(n*(n-1)*(n-2)/17).at n=34A011899
- sin(arcsinh(x)*arcsinh(x))=2/2!*x^2-8/4!*x^4+8/6!*x^6+2112/8!*x^8...at n=4A012649
- Partial sums of A003136.at n=40A014146
- Powers of fifth root of 19 rounded down.at n=13A018168
- Powers of fifth root of 19 rounded to nearest integer.at n=13A018169