17700
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 52080
- Proper Divisor Sum (Aliquot Sum)
- 34380
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4640
- Möbius Function
- 0
- Radical
- 1770
- Omega Function (Ω)
- 6
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 48
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Numbers having four 4's in base 8.at n=6A043440
- Third column of triangle A054450 (partial row sums of unsigned Chebyshev triangle A049310).at n=19A054451
- Partial sums of A027941(n-1) with a(-1) = 0.at n=11A054452
- Third column of triangle A054453.at n=15A054454
- Convolution of Fibonacci F(n+1), n >= 0, with F(n+3), n >= 0.at n=14A067331
- Number of distinct coefficients in expansion related to enumeration of permutations of length n by length of longest subsequence.at n=20A068604
- a(n) = Sum_{k=0..floor(n/2)} binomial(n-k+3, k).at n=18A099571
- Larger member of an infinitary amicable pair.at n=8A126170
- Infinitary amicable numbers.at n=17A127664
- G.f.: A(x) = Product_{n>=1} [ (1-x)^4*(1 + 4x + 10x^2 +...+ n(n+1)(n+2)/3!*x^(n-1)) ].at n=9A129357
- Antidiagonal sums of triangular array T defined in A014430: T(j,k) = binomial(j+1, k) - 1 for 1 <= k <= j.at n=18A129696
- Ten times hexagonal numbers: 10*n*(2*n-1).at n=30A144560
- Perfect numbers written in base 8.at n=3A161323
- Integers of the form A164577(k)/3.at n=28A164619
- a(n) = Least i in range [A165598(n),A165598(n+1)] for which abs(A165597(i)) gets the maximum value in that range.at n=3A165599
- a(n) = a(n-1) + a(n-2) + F(n), with a(0) = 0, a(1) = 1, a(2) = a(1) + a(0), a(3) = a(2) + a(1), a(4) = a(3) + a(2) + 2.at n=17A166106
- Number of (w,x,y) with all terms in {0,...,n} and w>floor((x+y)/3).at n=29A212974
- Convolution of (1,-1,2,-2,3,-3,...) and A000045 (Fibonacci numbers).at n=21A213043
- a(0) = a(1) = 1; for n>1, a(n) = a(n-1) + a(n-2) + floor(n/2).at n=19A215004
- Number of length 1+3 0..n arrays with no pair in any consecutive four terms totalling exactly n.at n=11A246480