17292
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
- 24
- Divisor Sum
- 44352
- Proper Divisor Sum (Aliquot Sum)
- 27060
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5200
- Möbius Function
- 0
- Radical
- 8646
- Omega Function (Ω)
- 5
- 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
- yes
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 35
- 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 of 2n with all subsums different from n.at n=25A006827
- Product of a prime and the following number.at n=31A036690
- Base-8 palindromes that start with 4.at n=32A043024
- Integers n > 7059 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 7059.at n=35A063058
- Maximum of A073830(k) for k between A001359(n) and A001359(n+1).at n=9A073831
- Indices of primes in sequence defined by A(0) = 19, A(n) = 10*A(n-1) - 41 for n > 0.at n=17A102017
- a(n) = 4*n*(4*n - 1).at n=33A104188
- Average of twin-prime pairs for pairs that are expressible as the sum of two triangular numbers.at n=31A117313
- Numbers k such that there is a bigger number m satisfying A000203(k) = A000203(m) = m + k - gcd(m,k).at n=33A124140
- a(n) = number of conjugacy classes in PSL_3(prime(n)).at n=31A124679
- 6 times pentagonal numbers: a(n) = 3*n*(3*n-1).at n=44A152743
- Averages k of twin prime pairs such that 2*k^3 + 12*k^2 is a square.at n=5A154669
- Numerator of Euler(n,12).at n=4A157907
- Numbers n with property that 4 n^2 are squares arising in A158470.at n=33A158517
- Averages of twin prime pairs that are sums of 4 consecutive averages of twin prime pairs.at n=19A160918
- G.f.: A(x) = exp( Sum_{n>=1} sigma(n^4)*x^n/n ), a power series in x with integer coefficients.at n=7A202993
- Start with 4. Square the previous term and subtract it.at n=3A204321
- a(n) = (A216363(n) - 1)/118.at n=37A216380
- Positions of 3's in A234323.at n=41A234804
- Number T(n,k) of endofunctions f on [n] that are self-inverse on [k] but not on [k+1]; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=41A245692