4283
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4284
- 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
- 4282
- Möbius Function
- -1
- Radical
- 4283
- 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
- 126
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 588
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest number of complexity n: smallest number requiring n 1's to build using + and *.at n=28A005520
- Coordination sequence T2 for Zeolite Code BRE.at n=43A008059
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 4.at n=31A023253
- Primes that remain prime through 2 iterations of function f(x) = 8x + 3.at n=40A023261
- Primes that remain prime through 3 iterations of function f(x) = 5x + 4.at n=10A023284
- Square of lower triangular normalized 2nd kind Stirling matrix.at n=11A027495
- Second column of A027495.at n=3A027508
- 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 65.at n=6A031563
- Numbers with exactly five distinct base-8 digits.at n=16A031985
- Multiplicity of highest weight (or singular) vectors associated with character chi_81 of Monster module.at n=45A034469
- Let a (resp. b,c,d) be number of primes in the range {2..p} that end in 1 (resp. 3,7,9); sequence gives p such that a=d and b=c.at n=34A038562
- Number of partitions satisfying cn(0,5) + cn(2,5) + cn(3,5) < cn(1,5) + cn(4,5).at n=31A039881
- Numbers having, in base 16, (sum of even run lengths)=(sum of odd run lengths).at n=25A044887
- Discriminants of imaginary quadratic fields with class number 21 (negated).at n=11A046018
- Primes of the form 4*k^2 + 4*k + 59.at n=28A048988
- a(n) is the number of numbers between 1 and 2^m with m-n prime factors (counted with multiplicity), for m sufficiently large.at n=10A052130
- Binomial transform of A000029.at n=9A054192
- McKay-Thompson series of class 44c for Monster.at n=44A058683
- Safe primes (A005385) that are not Sophie Germain primes.at n=45A059452
- Primes p such that p^8 reversed is also prime.at n=29A059701