4772
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
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 8358
- Proper Divisor Sum (Aliquot Sum)
- 3586
- 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
- 2384
- Möbius Function
- 0
- Radical
- 2386
- Omega Function (Ω)
- 3
- 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
- 103
- 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
- a(n) = 10000*log_10(n) rounded up.at n=2A004230
- Number of atomic species of degree n; also number of connected permutation groups of degree n.at n=13A005226
- Number of atomic species of degree n which are not nontrivial substitutions.at n=13A005227
- Coordination sequence T1 for Zeolite Code RSN.at n=45A009885
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t is A000201 (lower Wythoff sequence).at n=31A023866
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = A000201 (lower Wythoff sequence).at n=30A024863
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049687.at n=35A049688
- Plug g.f. for A000108 (minus the leading 1), 1/2*(1-(1-4*x)^(1/2))/x - 1, into cycle index for dihedral group D_3.at n=10A056711
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 81 ).at n=25A063354
- Numbers k such that A007923(k) is prime.at n=14A075766
- Numbers n such that n^2048 + 1 is prime (a generalized Fermat prime).at n=4A088361
- Number of regions formed inside square by diagonals and the segments joining the vertices to the points dividing the sides into n equal length segments.at n=16A108914
- Numbers k such that (31*10^k - 121) / 9 is prime.at n=22A111247
- G.f.: 1/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)*(1-x^5))^2.at n=17A117487
- a(n) = prime(n)^2 - prime(n^2). Commutator of (primes, squares) at n.at n=24A123914
- Numbers n such that n^4+1 and n^4+3 are twin primes.at n=37A127871
- Rectangular table, read by antidiagonals, where the g.f.s of row n, R(x,n), satisfy: R(x,n+1) = R(G(x),n) for n>=0 and x*R(x,0) = G(x) = x + x*G(G(x)) is the g.f. of A030266.at n=42A128325
- Row 2 of table A128325.at n=6A128327
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having k UDL's (n >= 0; 0 <= k <= floor((n+1)/2)).at n=23A128728
- A triangular array distributing the values of sequence A120380.at n=16A160645