4413
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5888
- Proper Divisor Sum (Aliquot Sum)
- 1475
- 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
- 2940
- Möbius Function
- 1
- Radical
- 4413
- 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
- 46
- 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
- a(n) = floor(n*phi^16), where phi is the golden ratio, A001622.at n=2A004931
- Numbers k such that the k-th Euclid number A006862(k) = 1 + (Product of first k primes) is prime.at n=19A014545
- a(n) = a(n-1) + a(n-2) + 1 for n > 1, a(0)=1, a(1)=5.at n=15A022319
- 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 44.at n=19A031542
- Lucky numbers with size of gaps equal to 14 (upper terms).at n=19A031897
- Lucky numbers with size of gaps equal to 18 (lower terms).at n=24A031900
- Number of partitions of n such that cn(1,5) <= cn(0,5) = cn(2,5) <= cn(3,5) = cn(4,5).at n=70A036849
- Smallest of three consecutive squarefree numbers k, k+1, k+2 of the form p*q where p and q are distinct primes.at n=43A039833
- a(1) = 5; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=35A046255
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 10.at n=19A050959
- a(n) = (s(n)-(n mod 2)) / n where s(n) is A006533.at n=49A056891
- Each permutation in the list A060117 converted to Site Swap notation, with "zero throws" (fixed elements) replaced with n, the length of siteswap.at n=6A060495
- Positive numbers whose product of digits is four times their sum.at n=42A062036
- Successively larger 3-ball ground-state site swaps of A084501 in concatenated decimal notation.at n=17A084502
- A088257 indexed by A002110.at n=34A088411
- Values of n such that in the interval centered at A002110(n) = n-th primorial and of radius ceiling(log(center)) there is a single prime.at n=29A096833
- Numbers n such that omega(n-2) = omega(n-1) = omega(n) = omega(n+1) = omega(n+2).at n=42A101294
- Numbers n such that (58*100^n - 157)/99 is prime.at n=7A103110
- Assume the conjectured terms of A105594 are the correct beginnings of the trajectories described in A003508. a(n) is a record length of b(n) iterations to arrive at the collected trajectories. This sequence cites the a(n)'s.at n=13A105600
- Smaller of two consecutive lucky numbers with the same digital sum.at n=14A118566