2899
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3136
- Proper Divisor Sum (Aliquot Sum)
- 237
- 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
- 2664
- Möbius Function
- 1
- Radical
- 2899
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 141
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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) = 2*a(n-1) + 5*a(n-2), with a(0) = a(1) = 1.at n=7A002533
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals rooted at a cell up to rotation and reflection.at n=25A003452
- a(n) = (n + 3)*(n^2 + 6*n + 2)/6.at n=23A005286
- Coordination sequence T2 for Zeolite Code DDR.at n=34A008072
- a(n) is the sum over all floor(k^3/n), k=0 to n inclusive.at n=21A014818
- Numbers n such that n is a substring of its square in base 3 (written in base 10).at n=19A018827
- Pseudoprimes to base 40.at n=16A020168
- Numbers k such that the continued fraction for sqrt(k) has period 54.at n=6A020393
- Convolution of natural numbers with Beatty sequence for tau^2 A001950.at n=17A023542
- a(n) = T(n,1) + T(n-1,2) + ...+ T(n-k+1,k), where k = floor((n+1)/2) and T is the array defined in A026098.at n=24A026103
- Numbers having period-6 5-digitized sequences.at n=22A031190
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 22 ones.at n=35A031790
- Lucky numbers with size of gaps equal to 12 (upper terms).at n=35A031895
- Numbers whose set of base-7 digits is {1,3}.at n=34A032914
- a(n) = a(n-1)+ a(round(2*(n-1)/3)) +a(round((n-1)/3)) starting a(1)=1.at n=23A033498
- Offsets for the Atkin Partition Congruence theorem.at n=27A036492
- Base-7 palindromes that start with 1.at n=26A043015
- Numbers whose base-7 representation contains exactly four 1's.at n=16A043400
- Numbers n such that string 9,9 occurs in the base 10 representation of n but not of n-1.at n=28A044431
- Numbers n such that string 2,8 occurs in the base 10 representation of n but not of n+1.at n=31A044741