4783
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4784
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 4782
- Möbius Function
- -1
- Radical
- 4783
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 77
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 642
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of nonequivalent dissections of an (n+2)-gon by nonintersecting diagonals up to rotation and reflection.at n=9A001004
- Primes with 6 as smallest primitive root.at n=36A001125
- Number of n-dimensional space groups.at n=4A004029
- Numbers k such that the continued fraction for sqrt(k) has period 92.at n=6A020431
- Initial members of prime triples (p, p+4, p+6).at n=39A022005
- Primes that remain prime through 2 iterations of function f(x) = 8x + 9.at n=34A023264
- Primes that remain prime through 3 iterations of function f(x) = 6x + 5.at n=40A023288
- Primes that remain prime through 4 iterations of function f(x) = 6x + 5.at n=11A023317
- 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 69.at n=2A031567
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=23A031802
- Primes of form x^2+59*y^2.at n=27A033238
- Discriminants of imaginary quadratic fields with class number 23 (negated).at n=15A046020
- Primes p such that p+4 and p+16 are also primes.at n=40A049492
- Numbers k such that 181*2^k-1 is prime.at n=32A050842
- Primes at which the difference pattern X424Y (X and Y >= 6) occurs in A001223.at n=12A052166
- Primes followed by a [4,2,4] prime difference pattern of A001223.at n=19A052378
- a(n) = p is the smallest prime such that p = n + h(n)^2 and p is the first prime following h(n)^2. The smallest immediate post-square primes with distance n = p - h(n)^2.at n=21A058056
- Number of Dyck paths of semilength n with no peak at height 3.at n=10A059019
- Primes p such that p^12 reversed is also prime.at n=13A059705
- Number of 2 X 2 singular integer matrices with elements from {0,...,n} up to row and column permutation.at n=43A064276