3802
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5706
- Proper Divisor Sum (Aliquot Sum)
- 1904
- 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
- 1900
- Möbius Function
- 1
- Radical
- 3802
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 30
- Smith Number
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Coefficients for step-by-step integration.at n=4A002398
- a(n) = floor((n+1/n)^n).at n=4A014052
- a(n) = round( (n + 1/n)^n ).at n=4A014056
- Number of triples of different integers from [ 2,n ] with no global factor.at n=30A015618
- Numbers k such that the continued fraction for sqrt(k) has period 33.at n=10A020372
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (F(2), F(3), ...), t = A014306.at n=31A024596
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (F(2), F(3), F(4), ...), t = A014306.at n=30A025110
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 13.at n=4A031601
- a(n) = floor(5*n^2/2).at n=39A032526
- Increasing gaps among twin primes: size.at n=30A036063
- Digit sum of 'even' number equals digit sum of 'sum' and 'juxtaposition' of its prime factors (counted with multiplicity).at n=39A036926
- Number of solutions to the equation phi(x) = n!.at n=9A055506
- Triangle T(n,k) giving number of fixed 3 X k polyominoes with n cells (n >= 3, 1<=k<=n-2).at n=41A059679
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 77 ).at n=17A063350
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 93 ).at n=16A063366
- Numbers k such that prime(k+3)-(k+3)*tau(k+3) = prime(k)-k*tau(k) where tau(k) = A000005(k) is the number of divisors of k.at n=27A067356
- a(n) = 4 + 8*n + 10*n^2 + 4*n^3.at n=9A100207
- Expansion of (x^2-x-1)*(x^3-x^2+x-2) / ((x-1)*(2*x-1)*(x^2+x+1)*(x^2+1)).at n=11A109784
- Sum of parts, counted without multiplicities, in all partitions of n into odd parts.at n=27A116930
- a(1)=8; a(n)=floor((41+sum(a(1) to a(n-1)))/5).at n=34A120176