2901
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3872
- Proper Divisor Sum (Aliquot Sum)
- 971
- 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
- 1932
- Möbius Function
- 1
- Radical
- 2901
- 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
- 22
- 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
- Glaisher's function H'(4n+1) (18 squares version).at n=11A002610
- Expansion of g.f.: (1+x^3)*(1+x^4)/((1-x)*(1-x^2)^2*(1-x^4)).at n=40A004657
- Coordination sequence T4 for Zeolite Code DOH.at n=33A008081
- Coordination sequence T2 for Zeolite Code RSN.at n=35A009886
- Nearest integer to Gamma(n + 4/5)/Gamma(4/5).at n=7A020037
- Ceiling of Gamma(n+4/5)/Gamma(4/5).at n=7A020127
- Numbers k such that the continued fraction for sqrt(k) has period 42.at n=27A020381
- Square root of A030688.at n=28A030689
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 34.at n=32A031532
- Numbers whose set of base-7 digits is {1,3}.at n=35A032914
- Coordination sequence T2 for Zeolite Code STF.at n=36A038441
- Numerators of continued fraction convergents to sqrt(825).at n=8A042592
- Numbers having three 5's in base 8.at n=12A043443
- Numbers whose base-2 representation has exactly 11 runs.at n=10A043578
- a(n) = (1/2)*(n-th number whose base-2 representation has exactly 12 runs).at n=11A043686
- Numbers n such that number of runs in the base 2 representation of n is congruent to 1 mod 10.at n=21A043764
- Numbers n such that string 0,1 occurs in the base 10 representation of n but not of n-1.at n=30A044333
- Numbers n such that string 0,1 occurs in the base 10 representation of n but not of n+1.at n=30A044714
- a(1) = 8; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=28A046258
- Coordination sequence T4 for Zeolite Code ISV.at n=37A047961