4229
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
- 4230
- 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
- 4228
- Möbius Function
- -1
- Radical
- 4229
- 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
- 82
- 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
- 579
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 8 positive 6th powers.at n=41A003364
- Primes of form k^2 + 4.at n=14A005473
- Coordination sequence T2 for Zeolite Code LOV.at n=43A008135
- Numbers that are the sum of 3 positive cubes in more than one way.at n=33A008917
- a(n) = 3*a(n-1) + 5*a(n-2), with a(0)=0, a(1)=1.at n=7A015523
- a(n) is number of cycles in Moebius ladder M_n.at n=12A020873
- Primes that remain prime through 2 iterations of the function f(x) = 3*x + 2.at n=42A023246
- Convolution of (1, p(1), p(2), ...) and composite numbers.at n=16A023627
- Numbers that are the sum of 3 distinct positive cubes in 2 or more ways.at n=21A024974
- Numbers that are the sum of 3 positive cubes in exactly 2 ways.at n=33A025396
- Numbers that are the sum of 3 distinct positive cubes in exactly 2 ways.at n=21A025400
- a(n) = (d(n)-r(n))/2, where d = A026060 and r is the periodic sequence with fundamental period (1,0,0,0).at n=28A026061
- a(n+1) = Sum_{k=0..floor(n/3)} a(k) * a(n-k).at n=16A030032
- Primes of form x^2+65*y^2.at n=28A033241
- Primes of form x^2+77*y^2.at n=29A033249
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+1 or 20k-1. Also number of partitions in which no odd part is repeated, with no part of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=54A036024
- a(n) = a(n-1) + prime(n-1), with a(1)=2.at n=46A036439
- Number of partitions satisfying cn(0,5) + cn(1,5) <= cn(2,5) and cn(0,5) + cn(1,5) <= cn(3,5) and cn(0,5) + cn(4,5) <= cn(2,5) and cn(0,5) + cn(4,5) <= cn(3,5).at n=40A039882
- Numerators of continued fraction convergents to sqrt(764).at n=8A042472
- Numbers whose base-4 representation contains exactly three 0's and three 1's.at n=28A045031