4789
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4790
- 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
- 4788
- Möbius Function
- -1
- Radical
- 4789
- 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
- 121
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 644
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 2 iterations of the function f(x) = 8*x + 5.at n=38A023262
- Primes that remain prime through 2 iterations of function f(x) = 8x + 9.at n=35A023264
- Least m such that if r and s in {1/3, 1/6, 1/9, ..., 1/3n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=30A024838
- Numbers having period-4 6-digitized sequences.at n=18A031197
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=9A031812
- Primes of form x^2+77*y^2.at n=34A033249
- Value of D for incrementally largest values of minimal x satisfying Pell equation x^2-Dy^2=1.at n=26A033316
- Positive numbers having the same set of digits in base 7 and base 9.at n=25A037439
- Primes p such that Ramanujan function tau(p) is divisible by 13.at n=38A038543
- Numbers whose base-2 representation has exactly 11 runs.at n=19A043578
- a(n) = (1/2)*(n-th number whose base-2 representation has exactly 12 runs).at n=21A043686
- Numbers n such that number of runs in the base 2 representation of n is congruent to 1 mod 10.at n=31A043764
- Primes p such that p+4 and p+12 are also prime.at n=35A046137
- Primes whose sum of digits is the perfect number 28.at n=2A048517
- Smallest prime of the form m*Q(n) + r where Q(n) = A002110(n) (the n-th primorial) and r = prime(n+1)^2.at n=4A054757
- ATS: Add Then Sort (i.e., double previous term and then sort digits).at n=18A057615
- Primes p such that p and p^2 have same digit sum.at n=9A058370
- Primes p such that x^19 = 2 has no solution mod p.at n=32A059244
- Primes the sum of six consecutive composite numbers.at n=42A060331
- Sum of digits = 7 times number of digits.at n=45A061424