4952
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9300
- Proper Divisor Sum (Aliquot Sum)
- 4348
- 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
- 2472
- Möbius Function
- 0
- Radical
- 1238
- Omega Function (Ω)
- 4
- 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
- 134
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T1 for Moganite.at n=45A008258
- Coordination sequence T2 for Moganite, also for BGB1.at n=45A008259
- a(0) = 1, a(n) = 22*n^2 + 2 for n>0.at n=15A010012
- Expansion of (1/theta_4 - 1)/2.at n=21A014968
- Number of terms in n-th derivative of a function composed with itself 4 times.at n=12A022812
- Number of noncrossing rooted trees with n nodes on a circle that do not have leaves at level 1.at n=7A023053
- Numbers k such that Fib(k) == 21 (mod k).at n=33A023179
- a(n) = (d(n)-r(n))/5, where d = A026063 and r is the periodic sequence with fundamental period (1,4,0,0,0).at n=42A026065
- 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 17.at n=33A031515
- Numbers n such that 89*2^n-1 is prime.at n=12A050570
- Susceptibility series H_2 for 2-dimensional Ising model (divided by 2).at n=30A054275
- a(n) = floor( n^Pi ).at n=14A061294
- For even k >= 4, let f(k) = A066285(k/2) be the minimal difference between primes p and q whose sum is k. Such a k is in the sequence if f(k) > f(m) for all even m with 4 <= m < k.at n=21A065978
- Expansion of (1+x^4*C)*C^2, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=8A071743
- Numerator of 2*Sum(C(n,w)/(2*w+1),w=0..n/2-1)+C(n,n/2)/(n+1) if n is even, or of 2*Sum(C(n,w)/(2*w+1),w=0..(n-1)/2) if n is odd.at n=11A085568
- Triangle, read by rows, where row n equals the inverse binomial of column n of square array A100324, which lists the self-convolutions of SHIFT(A003169).at n=22A100326
- Column 1 of triangle A100326, in which row n equals the inverse binomial of column n of square array A100324, with leading zero omitted.at n=5A100328
- Triangle read by rows: T(n,k) is the number of noncrossing trees with n edges and k leaves at level 1.at n=28A101371
- Indices of primes in sequence defined by A(0) = 63, A(n) = 10*A(n-1) + 23 for n > 0.at n=20A101532
- a(n) = the sum of the terms in the n-th antidiagonal of A124975.at n=6A124014