4787
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4788
- 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
- 4786
- Möbius Function
- -1
- Radical
- 4787
- 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
- 72
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 643
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Indices of prime Lucas numbers.at n=28A001606
- Primes p such that 1 + product of primes up to p is prime.at n=12A005234
- From relations between Siegel theta series.at n=56A006476
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=34A007354
- Twelve iterations of Reverse and Add are needed to reach a palindrome.at n=30A015993
- Smallest nonempty set S containing prime divisors of 7k+6 for each k in S.at n=52A020611
- Initial members of prime triples (p, p+2, p+6).at n=38A022004
- Primes that remain prime through 2 iterations of function f(x) = 8x + 7.at n=33A023263
- Expansion of (2 + x + x^2)/((1 - x)*(1 - x - x^2)).at n=14A026390
- Primes p whose digits do not appear in p^2.at n=47A030086
- 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=3A031567
- Primes which are not the sum of consecutive composite numbers.at n=27A037174
- Molien series for 3-D group R2+R3.at n=34A037242
- Numerators of continued fraction convergents to sqrt(186).at n=8A041344
- Numerators of continued fraction convergents to sqrt(213).at n=6A041396
- Numerators of continued fraction convergents to sqrt(852).at n=4A042644
- Bessel function |J_0(n)| is a monotonically decreasing positive sequence.at n=28A046962
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 22.at n=24A051963
- Discriminants of imaginary quadratic fields with class number 25 (negated).at n=5A056987
- Let prime(i) = i-th prime, let twin(n) = (P,Q) be n-th pair of twin primes; sequence gives prime(Q).at n=28A057473