2849
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3648
- Proper Divisor Sum (Aliquot Sum)
- 799
- 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
- 2160
- Möbius Function
- -1
- Radical
- 2849
- Omega Function (Ω)
- 3
- 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
- 66
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Related to population of numbers of form x^2 + y^2.at n=13A000694
- Coordination sequence T1 for Zeolite Code DAC.at n=34A008067
- Coordination sequence T10 for Zeolite Code EUO.at n=33A008096
- Coordination sequence T1 for Zeolite Code MTN.at n=32A008186
- Coordination sequence T5 for Zeolite Code MTT.at n=33A008193
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=10A013592
- a(n) = n*(2*n + 3).at n=37A014106
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite RTH = RUB-13 [B2Si30O64].2R starting with a T4 atom.at n=11A019229
- Number of balls in pyramid with base either a regular hexagon or a hexagon with alternate sides differing by 1 (balls in hexagonal pyramid of height n taken from hexagonal close-packing).at n=22A019298
- Pseudoprimes to base 43.at n=37A020171
- a(n) = n*(29*n + 1)/2.at n=14A022287
- a(n) = position of 3*(n^2) in A000408.at n=33A024800
- a(n) = number of (s(0), s(1), ..., s(n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| <= 1 for i = 1,2,...,n, s(0) = 2, s(n) = 6. Also a(n) = T(n,n-4), where T is the array in A026323.at n=6A026329
- a(n) = number of (s(0), s(1), ..., s(n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| <= 1 for i = 1,2,...,n, s(0) = 2, s(2n) = n+1. Also a(n) = T(2n,n+1), where T is the array in A026323.at n=5A026330
- Divisors of 999999.at n=39A027892
- Divisors of 10^12 - 1.at n=47A027897
- Shifts left 2 places under "BHK" (reversible, identity, unlabeled) transform.at n=13A032104
- Multiplicity of highest weight (or singular) vectors associated with character chi_76 of Monster module.at n=34A034464
- Number of partitions in parts not of the form 17k, 17k+3 or 17k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=30A035964
- Number of partitions of n into parts not of the form 23k, 23k+7 or 23k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=27A035995