4882
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7326
- Proper Divisor Sum (Aliquot Sum)
- 2444
- 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
- 2440
- Möbius Function
- 1
- Radical
- 4882
- 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
- 72
- 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
- yes
- Odd
- no
Appears in sequences
- Generalized divisor function. Number of partitions of n with exactly three part sizes.at n=41A002134
- Number of rooted projective plane trees with n nodes.at n=10A006080
- Coordination sequence T4 for Zeolite Code RUT.at n=46A009900
- a(n) = self-convolution of row n of array T given by A027113.at n=6A027134
- a(n) = Sum_{k=0..floor((n+1)/2)} (k+1) * A008315(n, k).at n=11A027305
- 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 68.at n=20A031566
- Numbers that, when expressed in base 4 and then interpreted in base 10, yield a multiple of the original number.at n=25A032540
- Numbers whose set of base-6 digits is {3,4}.at n=39A032830
- Trajectory of 3 under map n->13n+1 if n odd, n->n/2 if n even.at n=27A037104
- Numbers whose sum of reciprocals of digits is the reciprocal of an integer.at n=49A037264
- Sum of reciprocals of digits = 1.at n=31A037268
- Harmonic mean of digits is 4.at n=33A062182
- Expansion of (1-x)^(-1)/(1-x+x^2-2*x^3).at n=26A077871
- G.f.: (1+x^5+x^7+x^8+x^10+x^15)/((1-x^2)(1-x^3)(1-x^4)(1-x^6)^2(1-x^9)).at n=52A089599
- Semiprime function n -> A001358(n) applied four times to n.at n=41A105998
- Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n then a(n) is the trace of M(n)^(-6).at n=6A114358
- Number of distinct sums of subsets of the first n prime numbers.at n=48A115030
- Triangular matrix T, read by rows, such that the anticommutator of T and U shifts the columns of T up 1 row: {T,U}(n,k) = T(n+1,k), where U denotes the triangular matrix defined by U(n,k) = A000108(n-k) = Catalan(n-k) for n>=k and where T(n,n) = (n+1).at n=48A116077
- Least positive k such that (10^n+1)^n + k is prime.at n=32A121521
- Numbers k such that k and k^2 use only the digits 2, 3, 4, 8 and 9.at n=11A137077