2829
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4032
- Proper Divisor Sum (Aliquot Sum)
- 1203
- 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
- 1760
- Möbius Function
- -1
- Radical
- 2829
- 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
- 128
- 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
- a(n) is the number of conjugacy classes in the alternating group A_n.at n=29A000702
- a(n) = n concatenated with n + 1.at n=27A001704
- Numbers k such that k^4 can be written as a sum of four positive 4th powers.at n=14A003294
- Numbers that are the sum of 8 positive 7th powers.at n=14A003375
- Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases.at n=13A004112
- a(n) = round(n*phi^10), where phi is the golden ratio, A001622.at n=23A004945
- a(n) = ceiling(n*phi^10), where phi is the golden ratio, A001622.at n=23A004965
- Number of unordered sets of pairs (in-degree, out-degree) for nodes of directed trees on n unlabeled nodes (the edges are directed in arbitrary directions, the tree is unrooted).at n=10A007835
- Coordination sequence T2 for Zeolite Code AFO.at n=35A008016
- Coordination sequence T8 for Zeolite Code EUO.at n=33A008103
- Coordination sequence T3 for Zeolite Code RUT.at n=35A009899
- Coordination sequence T4 for Zeolite Code RUT.at n=35A009900
- Sum of gcd(x, y) for 1 <= x, y <= n.at n=33A018806
- Pseudoprimes to base 91.at n=31A020219
- Least k such that tan(k) > tan(a(n-1)), for n >= 1, where a(0) = 0.at n=24A024814
- Pair up the numbers.at n=14A030656
- Least term in period of continued fraction for sqrt(n) is 3.at n=41A031427
- Number of bracelets (turnover necklaces) of n beads of 2 colors, 7 of them black.at n=14A032280
- Numbers k such that 81*2^k+1 is prime.at n=40A032390
- a(n) = ceiling(sqrt(8*10^n)).at n=5A035075