17272
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 34560
- Proper Divisor Sum (Aliquot Sum)
- 17288
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- yes
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 8064
- Möbius Function
- 0
- Radical
- 4318
- Omega Function (Ω)
- 5
- 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
- Primitive weird numbers: weird numbers with no proper weird divisors.at n=8A002975
- Weird numbers: abundant (A005101) but not pseudoperfect (A005835).at n=27A006037
- Numbers k such that sigma(k+2) = sigma(k).at n=23A007373
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10).at n=38A017832
- Numbers m such that m divides sigma(m) - d(m).at n=7A056075
- Duplicate of A056075.at n=7A070019
- Sum of the n-th row of A077339.at n=18A081929
- Weird numbers (A006037) not divisible by 5.at n=5A138850
- Numbers n whose abundance is 16.at n=6A141547
- Number of 6-step self-avoiding walks on an n X n square summed over all starting positions.at n=9A188151
- Sophie Germain 5-almost primes.at n=32A211162
- Numbers n such that if x=sigma(n)-tau(n)-n then n=sigma(x)-tau(x)-x.at n=20A238227
- Primitive weird numbers (pwn) (A002975) whose abundance (A033880) is a power of 2 (A000079).at n=7A258250
- Primitive weird numbers of the form 2^k*p*q with k > 0 and where p < q are odd primes.at n=6A258882
- Least primitive weird number, pwn, (A002975) which is divisible by the n-th prime (A000040).at n=4A265727
- Numbers k such that sigma(k) == 0 (mod k+8).at n=10A274561
- Admirable numbers such that the subtracted divisor is a Fibonacci number.at n=19A282754
- Bi-unitary weird numbers: bi-unitary abundant numbers (A292982) that are not bi-unitary pseudoperfect (A292985).at n=29A292986
- Infinitary weird numbers: infinitary abundant numbers (A129656) that are not infinitary pseudoperfect numbers (A306983).at n=29A306984
- Numbers m such that sigma(m) - tau(m) = 2m.at n=5A329104