17398
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 26100
- Proper Divisor Sum (Aliquot Sum)
- 8702
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8698
- Möbius Function
- 1
- Radical
- 17398
- Omega Function (Ω)
- 2
- 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
- 203
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- From George Gilbert's marks problem: jumping 6 marks at a time (final positions).at n=11A019996
- Multiplicity of highest weight (or singular) vectors associated with character chi_32 of Monster module.at n=42A034420
- Numbers k such that 233*2^k-1 is prime.at n=20A050868
- Series for 2nd parallel moment of square lattice bond percolation near a wall (eventually goes negative).at n=9A056598
- Number of n X 2 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,1,2,0,4 for x=0,1,2,3,4.at n=10A196906
- Number of tilings of a 10 X n rectangle using integer-sided square tiles of area > 1.at n=14A226374
- a(n) = smallest index m such that smallest prime factor of m-th triangular number is prime(n).at n=30A226442
- Numbers n such that n!3 + 3^6 is prime.at n=28A247467
- Number of digits in the decimal expansion of the number of partitions of 5^n.at n=12A248731
- Number of length n+4 0..1 arrays with at most two downsteps in every n consecutive neighbor pairs.at n=13A256819
- Triangle read by rows: T(n,g) = number of general immersions of a circle with n crossings in a surface of arbitrary genus g (the circle is not oriented, the surface is not oriented).at n=25A260914
- Arises in enumeration of locally convex functions.at n=9A271492
- Numbers m such that phi(sum of the divisors of m) = phi(sum of the distinct prime divisors of m) where phi is the Euler totient function.at n=15A282515
- Table read by antidiagonals: T(m,n) = number of 2-metered (m,n)-parking functions.at n=58A372818