17148
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 40040
- Proper Divisor Sum (Aliquot Sum)
- 22892
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5712
- Möbius Function
- 0
- Radical
- 8574
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 128
- 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
- Number of partitions satisfying cn(2,5) < cn(1,5) + cn(4,5) and cn(3,5) < cn(1,5) + cn(4,5).at n=37A039889
- Numbers which are the sum of their proper divisors containing the digit 5.at n=31A059464
- Number of compositions of n with first part 4 and no equal adjacent parts; this is column 4 of the array in A096568.at n=22A096572
- Numbers k such that phi(k-6) = phi(k) = phi(k+6).at n=23A217006
- Recurring digital invariants of order 6.at n=0A218247
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..2 array extended with zeros and convolved with 1,-2,1.at n=17A222147
- Initial members of abundant quadruplets, i.e., values of k such that (k, k+2, k+4, k+6) are all abundant numbers.at n=27A231089
- Number of n X 2 0..2 arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two exactly once.at n=9A268768
- Numbers k such that (61*10^k - 1)/3 is prime.at n=15A295395
- Sum of the fifth largest parts in the partitions of n into 7 parts.at n=45A308929
- Sequence shifts left six places under Weigh transform with a(n) = signum(n) for n<6.at n=37A316078
- Numbers k such that k and k+1 are both hoax numbers (A019506).at n=29A329935
- a(n) is the number of balanced-non-self-conjugate partitions of n.at n=53A331262
- Number of ternary strings of length n that contain at least two 0's and at most two 1's.at n=10A338232
- a(n) = 4*a(n-1) - 2*a(n-2) + a(n-3) - 4*a(n-4) + 2*a(n-5) for n >= 7, where a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 12, a(5) = 38, a(6) = 127.at n=9A341240
- T(n,k) is the number of permutations of [n] having exactly k pairs of integers i<j in [n] such that their cycle minima have opposite sorting order; triangle T(n,k), n>=0, 0<=k<=A125811(n)-1, read by rows.at n=58A381529
- Expansion of (1/x) * Series_Reversion( x * (1 - x^3 / (1 - x)^5) ).at n=11A389351