4838
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7560
- Proper Divisor Sum (Aliquot Sum)
- 2722
- 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
- 2320
- Möbius Function
- -1
- Radical
- 4838
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 59
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- 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=16A031566
- Coordination sequence T7 for Zeolite Code STT.at n=46A038419
- Denominators of continued fraction convergents to sqrt(755).at n=5A042455
- Numbers whose base-5 representation contains exactly two 2's and three 3's.at n=12A045273
- Triangle T(n,k) of numbers with e.g.f. exp((exp((1+x)*y)-1)/(1+x)), k=0..n-1.at n=42A059340
- Numbers k such that the k-th prime is of the form 2*j^2 + 1.at n=24A090612
- Numbers k such that 7*10^k - 9 is prime.at n=20A103048
- Numbers k such that F(2*k + 1) is prime where F(m) is a Fibonacci number.at n=24A117517
- Number of base 22 n-digit numbers with adjacent digits differing by one or less.at n=6A126376
- Numbers k such that 6*p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)-1 and 6*p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)+1 are twin primes with p(h) = h-th prime.at n=11A129310
- Indices k such that k divides A007468(k).at n=19A134244
- a(n) = A038705(n) - 1.at n=9A143533
- Number of isomorphism classes of toric log del Pezzo surfaces with index L = n.at n=24A145581
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (-1, 1, 0), (-1, 1, 1), (1, 0, 0)}.at n=9A148551
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, -1, 1), (0, 1, -1), (1, 0, 1)}.at n=8A148928
- a(n) = 81*n^2 - 44*n + 6.at n=8A156676
- Triangle formed by coefficients of the expansion of p(x, n), where p(x,n) = (1 + 2*x - x^2)^(n + 1)*Sum_{j >= 0} (j+1)^n*(-2*x + x^2)^j.at n=30A156901
- Upper s-Wythoff sequence of A000290 (the squares). Complement of A184427.at n=68A184428
- 1/128 the number of (n+2) X 3 binary arrays with each 3 X 3 subblock trace equal to some horizontal or vertical neighbor 3 X 3 subblock trace.at n=5A185985
- 1/128 the number of (n+2)X8 binary arrays with each 3X3 subblock trace equal to some horizontal or vertical neighbor 3X3 subblock trace.at n=0A185990