4281
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5712
- Proper Divisor Sum (Aliquot Sum)
- 1431
- 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
- 2852
- Möbius Function
- 1
- Radical
- 4281
- 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
- 126
- 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
- Oscillates under partition transform.at n=39A007211
- a(n) = n^5 - (65/6)*n^4 + (173/6)*n^3 + (148/3)*n^2 - (862/3)*n + 265.at n=4A028294
- Inverse Euler transform of {A001285(0), A001285(1), ...} where A001285(n) is Thue-Morse sequence.at n=47A029878
- 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 42.at n=31A031540
- "CGK" (necklace, element, unlabeled) transform of 2,1,1,1,...at n=23A032157
- "EFK" (unordered, size, unlabeled) transform of 2,1,1,1,...at n=48A032303
- Number of ordered pairs of integers (x,y) with x^2+y^2 < n^2.at n=37A051132
- Triangle of coefficients of polynomials arising in enumeration of periodic sequences.at n=50A054722
- Number of n-bead necklace structures using exactly five different colored beads.at n=9A056298
- a(1) = 7; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=29A074343
- a(n) = (n-1)*(n-2)^3 - A003878(n-3), with a(1) = a(2) = 0 and a(3) = 2.at n=18A075681
- Numbers n such that A003313(n) = A003313(2n).at n=11A086878
- Triangle read by rows: T(n,k) is the number of stacks of n pancakes requiring k = 0, ..., A058986(n) flips to sort.at n=40A092113
- Numbers n such that (n + prime(n)), (n+1 + prime(n+1)) and (n+2 + prime(n+2)) are divisible by 5.at n=26A107581
- 1 + sum of first n 4-almost primes.at n=32A110226
- Maximal value of sum(p(i)p(i+1),i=1..n), where p(n+1)=p(1), as p ranges over all permutations of {1,2,...,n}.at n=22A110610
- an=n-th smallest integer of the form m=p1*p2 where pi are odd primes such that d+2m/d are all primes for d dividing 2m.at n=30A128279
- Sums of three consecutive pentagonal numbers.at n=30A129863
- Number of partitions of n into {number of partitions of n into "number of partitions of n into 'number of partitions of n into partition numbers' numbers" numbers} numbers.at n=39A130900
- Triangle read by rows: T(n,k) is the number of k-block partitions of an n-set up to rotations.at n=49A152175