17395
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 24624
- Proper Divisor Sum (Aliquot Sum)
- 7229
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11760
- Möbius Function
- 0
- Radical
- 2485
- 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
- 203
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k that divide s(k), where s(1)=1, s(j)=15*s(j-1)+j.at n=44A014865
- Numbers whose base-4 representation contains exactly three 0's and four 3's.at n=23A045080
- Denominators of convergents to Pi by Farey fractions.at n=21A063673
- Numbers k such that gcd(3k,8^k+1) = 3 but k does not divide the numerator of B(2k) (the Bernoulli numbers).at n=24A070193
- a(n) = Sum_{k=0..floor(n/6)} C(n-3k,3k) * 3^k.at n=19A100136
- Partial sums of cupolar numbers (1/3)*(n+1)*(5*n^2+7*n+3) (A096000).at n=13A117066
- Binomial transform of [1,3,5,6,7,8,9,10,11,...] (i.e., positive integers except 2 and 4).at n=11A133546
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 0100-1100-0111-0001 pattern in any orientation.at n=10A147268
- Number of binary strings of length n with no substrings equal to 0001 0010 or 1011.at n=17A164450
- a(1) = 1, and for each k >=2, a(k) is the smallest number n such that n/sin(n) > a(k)/sin(a(k)), so that a(1)/sin(a(1)) > a(2)/sin(a(2)) > ... > a(k)/sin(a(k)) > ...at n=38A172445
- a(n) = 7*n*(2*n + 1).at n=35A195026
- Number of tilings of a 3 X n rectangle using dominoes and straight (3 X 1) trominoes.at n=9A219867
- Number of tilings of a 9 X n rectangle using dominoes and straight (3 X 1) trominoes.at n=3A219872
- Record values in A216476.at n=22A306564