4429
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4576
- Proper Divisor Sum (Aliquot Sum)
- 147
- 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
- 4284
- Möbius Function
- 1
- Radical
- 4429
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 139
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Representation degeneracies for boson strings.at n=28A005292
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/21).at n=19A011931
- Number of close-packings with layer-number 3n and space group R3m.at n=12A011956
- Discriminants of quintic fields with 4 complex conjugates.at n=18A023685
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t = A002808 (composite numbers).at n=30A023863
- Concatenations C1 and C2 are both prime (see the comment lines).at n=45A034816
- Concatenations C1 and C2 and C3 and C4 are all prime (see the comment lines).at n=6A034819
- a() = 1,3,... [ A037257 ], differences = 2,... [ A037258 ] and 2nd differences [ A037259 ] are disjoint and monotonic; adjoin next free number to 2nd differences unless it would produce a duplicate in which case ignore.at n=25A037257
- Numerators of continued fraction convergents to sqrt(409).at n=6A041776
- a(n)=(s(n)+3)/9, where s(n)=n-th base 9 palindrome that starts with 6.at n=26A043077
- Numbers whose base-4 representation contains exactly two 0's and four 1's.at n=27A045027
- Revert transform of 2*x*(1 - x + x^2 - x^3 - x^5)-x/(1+x).at n=10A049178
- a(n)=T(n,n+3), array T as in A049735.at n=25A049743
- Numbers which, when expressed as a sum of distinct primes with maximum product, use a non-maximal number of primes.at n=21A053020
- To get next term, multiply by 17, add 1 and discard any prime factors < 17.at n=4A057216
- To get next term, multiply by 17, add 1 and discard any prime factors < 17.at n=26A057216
- a(n+1) = a(n)/2 if 2|a(n), a(n)/3 if 3|a(n), a(n)/5 if 5|a(n), a(n)/7 if 7|a(n), a(n)/11 if 11|a(n), a(n)/13 if 13|a(n), otherwise 17*a(n)+1.at n=13A057534
- Numbers k such that k*2^m+1 is prime for exactly one exponent m in the range 0<=m<=k.at n=39A061155
- a(n) = Sum_{d|n} phi(d^4).at n=8A068970
- Expansion of e.g.f. exp(x) * log(1-x)/(x-1).at n=6A073596