8554
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 16128
- Proper Divisor Sum (Aliquot Sum)
- 7574
- 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
- 3312
- Möbius Function
- 1
- Radical
- 8554
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 26
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = (5*n+1)*(5*n+4).at n=18A001545
- a(n) = binomial(n+2,2) + binomial(n+3,3) + binomial(n+4,4) + binomial(n+5,5).at n=12A027659
- a(n) is the smallest m for which the decimal representation of 2^m contains n consecutive identical digits.at n=7A045875
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 6 skipped primes.at n=40A050773
- a(n) = A048141(3*n).at n=47A051061
- Expansion of (1+x^2)*(1+x^5)*(1+x^8)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)*(1-x^6)*(1-x^7)*(1-x^8)*(1-x^9)*(1-x^10)).at n=29A069950
- Number of two-rowed partitions of length 4.at n=27A070557
- a(n) = (3*n+1)*(3*n+4).at n=30A085001
- Partial sums of A101351.at n=12A101352
- Sums of three consecutive hexagonal numbers.at n=37A129109
- Exponent of least power of 2 having exactly n consecutive 1's in its decimal representation.at n=8A131535
- Number of primes between A001605(n) and A001605(n+1).at n=42A134851
- a(n) = n^2 + a(n-1), with a(1)=0.at n=28A168559
- Exponential Riordan array, defining orthogonal polynomials related to permutations without double falls.at n=31A182822
- Number of 2-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on an n X n board summed over all starting positions.at n=46A187297
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+x+y>0.at n=13A211545
- a(n) is the least value of k such that the decimal expansion of n^k contains eight or more consecutive identical digits.at n=0A217163
- -2-Knödel numbers.at n=24A225506
- Let x(1)x(2)...x(q) the decimal expansion of the numbers k having exactly q distinct prime divisors p(1) < p(2) < ... < p(q). Sequence lists the numbers k such that p(1)/x(1) + p(2)/x(2) + ... + p(q)/x(q) is an integer.at n=16A235152
- 5*n^2 + 4*n - 15.at n=40A239794