4972
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9576
- Proper Divisor Sum (Aliquot Sum)
- 4604
- 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
- 2240
- Möbius Function
- 0
- Radical
- 2486
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 72
- 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 nonlinear recurrence.at n=35A003073
- Coordination sequence T5 for Zeolite Code NES.at n=45A008209
- a(n) = Sum_{k=1..n} k*floor( prime(k)/k ).at n=51A024927
- Super-4 Numbers (4 * n^4 contains substring '4444' in its decimal expansion).at n=1A032744
- Number of partitions in parts not of the form 15k, 15k+1 or 15k-1. Also number of partitions with no part of size 1 and differences between parts at distance 6 are greater than 1.at n=39A035955
- 1/2-Smith numbers.at n=30A050224
- a(n) = n^3 + prime(n).at n=16A089620
- Numbers n such that (n + prime(n)), (n+1 + prime(n+1)) and (n+2 + prime(n+2)) are divisible by 5.at n=29A107581
- Right diagonal of triangle in A110339.at n=43A110341
- a(3n) = floor(43*2^n/28) - 1, a(3n+1) = a(3n) + 3*2^(n-3), a(3n+2) = floor(17*2^n/7 - 6/7) for n>=3.at n=35A123946
- a(n) = n-th prime * n-th nonprime.at n=29A127118
- G.f.: A(x) = 1 + x*exp( Sum_{k>=1} [A(-(-1)^k*x) - 1]^k/k ).at n=11A156909
- Dispersion of (2*floor(n*sqrt(2))), by antidiagonals.at n=45A191541
- Monotonic ordering of set S generated by these rules: if x and y are in S then 3xy-2x-2y is in S, and 2 is in S.at n=37A192531
- Numbers n such that 4n+3 is a palindromic prime.at n=20A193419
- Row sums of triangle A076732.at n=6A193463
- a(n) = n-1 for n <= 4, otherwise if n is even then a(n) = a(n-5)+2^(n/2), and if n is odd then a(n) = a(n-1)+2^((n-3)/2).at n=23A200310
- Number of -1..1 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having two, four or six distinct values for every i,j,k<=n.at n=10A211528
- Number of (w,x,y,z) with all terms in {1,...,n} and |x-y| = w + |y-z|.at n=22A212683
- Multiples of 11 whose digit sum is a multiple of 11.at n=34A216995