4966
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8064
- Proper Divisor Sum (Aliquot Sum)
- 3098
- 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
- 2280
- Möbius Function
- -1
- Radical
- 4966
- 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
- 41
- 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
- Coordination sequence T4 for Zeolite Code -CHI.at n=45A009849
- Number of partitions satisfying cn(0,5) < cn(1,5) + cn(2,5) + cn(3,5) and cn(0,5) < cn(4,5) + cn(2,5) + cn(3,5).at n=29A039847
- Number of partitions satisfying cn(0,5) + cn(2,5) + cn(3,5) <= cn(1,5) + cn(4,5).at n=31A039879
- Geometric mean of the digits = 6. In other words, the product of the digits is = 6^k where k is the number of digits.at n=30A061429
- Reversion of x - x^2 + x^5.at n=11A063028
- G.f.: (1-x+2*x^2+2*x^3+2*x^4-x^5+x^6)/((1-x)*(1-x^2)^2*(1-x^3)).at n=38A083709
- Third column (m=4) of array A090452.at n=12A090453
- 3-almost primes with semiprime digits (digits 4, 6, 9 only).at n=12A111494
- Expansion of c(3*x^2)/(1-x*c(3*x^2)), c(x) the g.f. of A000108.at n=9A128386
- Number of partitions of n where odd parts are distinct or repeated once.at n=35A131945
- Numbers n such that 6^n+5 is prime.at n=18A145106
- Concatenation of odd n and even n-th nonprime.at n=18A155486
- Multiples of 13 whose reversal + 1 is also a multiple of 13.at n=26A166390
- Smallest a(n) such that the prime factorization of a(n)! contains at least one factor to each exponent between 1 and n.at n=32A177442
- Square array A(n,k) by antidiagonals. A(n,k) is the number of length 2n k-ary words (n,k>=0), either empty or beginning with the first character of the alphabet, that can be built by repeatedly inserting doublets into the initially empty word.at n=50A183134
- Number of strings of numbers x(i=1..4) in 0..n with sum i^2*x(i) equal to n*16.at n=41A183955
- Number of n-ary words beginning with the first character of the alphabet, that can be built by inserting five doublets into the initially empty word.at n=4A194717
- Number of quaternary words either empty or beginning with the first character of the alphabet, that can be built by inserting n doublets into the initially empty word.at n=5A194724
- Numbers such that sum of digits and sum of the square of digits are both a square.at n=42A197125
- Numbers such that the sum, sum of the squares, and sum of the cubes of the decimal digits are each a perfect square.at n=36A197129