17297
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 20178
- Proper Divisor Sum (Aliquot Sum)
- 2881
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14784
- Möbius Function
- 0
- Radical
- 2471
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 53
- 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
- Expansion of e.g.f.: exp(tanh(x)-log(x+1))=1+1/2!*x^2-4/3!*x^3+9/4!*x^4-48/5!*x^5...at n=8A013495
- Number of simple unlabeled n-node graphs with 3 center nodes.at n=8A052439
- Engel expansion of 3^(1/3) = 1.44225.at n=14A059179
- Reversion of y - y^2 - y^3 - y^4 + y^5.at n=9A063031
- a(n) = Sum_{1<=k<=n, gcd(k,n)=1}, A000217(k).at n=48A127415
- Numbers of the form 49*k, where 49*k+2 and 49*k-6 are both prime.at n=8A153779
- a(n) = 18*n^2 - 1.at n=30A157910
- a(n) = 961*n - 1.at n=17A158412
- a(n) = (3 + 2*n + 6*n^2 + 4*n^3)/3.at n=23A166464
- First number in the n-th row of A172002.at n=46A168388
- T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=48A240046
- Number of 4Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=6A240049
- Numbers m such that each of the four consecutive integers m, m+1, m+2, m+3 has squarefree rank 1.at n=6A290340
- Triangle read by rows: T(n,k) is the number of simple connected graphs on n nodes with k center nodes.at n=38A294525
- Numbers of the form (k^2 - 2) / 2 where k - 1 and k + 1 are both odd composite numbers.at n=23A339480
- Number of integer partitions of n that contain at least one even part and whose halved even parts are relatively prime.at n=37A366845
- Table in which the g.f. of row n, R(n,x), satisfies Sum_{k=-oo..+oo} (x^k - n*R(n,x))^k = 1 - (n-2)*Sum_{k>=1} x^(k^2), for n >= 1, as read by antidiagonals.at n=62A370030
- Expansion of g.f. A(x) satisfying Sum_{n=-oo..+oo} (x^n - 4*A(x))^n = 1 - 2*Sum_{n>=1} x^(n^2).at n=7A370034
- Numbers that are the concatenation of three (not necessarily distinct) primes whose sum is prime, and are also the product of three (not necessarily distinct) primes whose sum is prime.at n=40A385452