2150
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4092
- Proper Divisor Sum (Aliquot Sum)
- 1942
- 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
- 840
- Möbius Function
- 0
- Radical
- 430
- 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
- 24
- 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
- Expansion of (1+x)(1+x^2)/(1-x-x^3).at n=19A003410
- Coordination sequence T2 for Zeolite Code AWW.at n=33A008046
- Coordination sequence T4 for Zeolite Code LTN.at n=32A008143
- Triangle of q-binomial coefficients for q=-7.at n=12A015117
- Gaussian binomial coefficient [ n,2 ] for q = -7.at n=2A015258
- Number of (unordered) triples of integers from [1,n] with no common factors between pairs.at n=35A015617
- Number of triples of different integers from [ 2,n ] with no common factors between pairs.at n=35A015620
- Coordination sequence T1 for Zeolite Code TER.at n=31A016433
- Powers of fifth root of 11 rounded down.at n=16A018144
- Powers of fifth root of 11 rounded to nearest integer.at n=16A018145
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite RON = Roggianite Ca16[Be8Al16Si32O104(OH)16].19H2O starting with a T2 atom.at n=11A019214
- Numbers whose base-7 representation is the juxtaposition of two identical strings.at n=42A020335
- Base 6 expansion uses each positive digit just once.at n=11A023744
- a(n) = Sum_{k=0..n} (k+1) * A026692(n, k).at n=8A026995
- a(n) = n*(n+7).at n=43A028563
- If d,e are consecutive digits of n in base 7, then |d-e|>=5.at n=27A032995
- Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 3 (mod 5).at n=38A035408
- Number of partitions of n with equal number of parts congruent to each of 0, 2 and 4 (mod 5).at n=42A035576
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+3 or 20k-3. Also number of partitions in which no odd part is repeated, with 1 part of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=41A036025
- Number of connected functions on n points with a single labeled point.at n=8A038002