13775
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18600
- Proper Divisor Sum (Aliquot Sum)
- 4825
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10080
- Möbius Function
- 0
- Radical
- 2755
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 169
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Coefficient of q^(2n-1) in the series expansion of Ramanujan's mock theta function f(q).at n=47A000199
- a(0) = 1, a(1) = 5, a(n) = 4*a(n-1) - a(n-2).at n=7A001834
- a(2*n) = a(2*n-1) + a(2*n-2), a(2*n+1) = 2*a(2*n) + a(2*n-1); a(0) = a(1) = 1.at n=15A002531
- Ruth-Aaron numbers (1): sum of prime divisors of n = sum of prime divisors of n+1.at n=20A006145
- Number of linearly ordered Abelian monoids of size n (semigroups with greatest element of the corresponding chain as neutral element); triangular norms on an n-chain.at n=8A030453
- Numerators of continued fraction convergents to sqrt(27).at n=4A041042
- Numerators of continued fraction convergents to sqrt(363).at n=2A041686
- McKay-Thompson series of class 42a for Monster.at n=51A058675
- a(0)=1, a(n) = a(n-1) - Sum_{k=2..n} mu(k) * a(n-k), where mu(k) is the Moebius function of k.at n=16A072810
- Sums of groups in A075643.at n=27A075645
- Limit of the sequence obtained from S(0) = (1,1) and, for n > 0, S(n) = I(S(n-1)), where I consists of inserting, for i = 1, 2, 3..., the term a(i) + a(i+1) between any two terms for which 7*a(i+1) <= 11*a(i).at n=14A082630
- Expansion of (1 + x + x^2)/(1 - 4x^2 + x^4).at n=14A108412
- Positive integers i for which A112049(i) == 7.at n=36A112067
- Expansion of (1-x)*(2*x^2-4*x+1)/(1-2*x+5*x^2-4*x^3+x^4).at n=14A131039
- Number of Khalimsky-continuous functions with a three-point codomain.at n=13A131887
- Numbers n such that primorial(n)/2 + 8 is prime.at n=24A139441
- Numerators of principal and intermediate convergents to 3^(1/2).at n=21A143642
- Numerators of the lower principal convergents and the lower intermediate convergents to 3^(1/2).at n=14A143643
- Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 0010-1110-0111-0100 pattern in any orientation.at n=20A146905
- Numerators of fractions x^n + y^n, where x + y = 1 and x^2 + y^2 = 2.at n=14A173299