3517
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3518
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3516
- Möbius Function
- -1
- Radical
- 3517
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 149
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 491
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T5 for Zeolite Code MTW.at n=39A008200
- Numbers k such that the continued fraction for sqrt(k) has period 37.at n=11A020376
- Positive numbers k such that k and 2*k are anagrams in base 9 (written in base 9).at n=13A023079
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 5.at n=45A023243
- Primes that remain prime through 2 iterations of function f(x) = 9x + 4.at n=43A023266
- Prefix primes in base 8 (written in base 8).at n=34A024768
- Palindromic primes in base 16 (or hexadecimal), but written here in base 10.at n=37A029732
- Lower prime of a difference of 10 between consecutive primes.at n=44A031928
- Primes of form x^2+41*y^2.at n=25A033228
- Primes of form x^2+71*y^2.at n=29A033246
- Primes of form x^2+83*y^2.at n=25A033253
- Trajectory of 48 under prime factor concatenation procedure.at n=18A037941
- Generation indices to 'Prime last odd terms' of sequence A048458.at n=24A048459
- Primes for which only two iterations of 'Prime plus its digit sum equals a prime' are possible.at n=23A048524
- Numbers n such that prime(n) - sigma(n) - phi(n) = prime(n+1) - sigma(n+1) - phi(n+1), where sigma(n) = sum of divisors of n.at n=32A048783
- Numbers k such that 157*2^k-1 is prime.at n=12A050830
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 13.at n=15A050962
- Numbers k such that 275*2^k + 1 is prime.at n=18A053354
- a(n)=[A*a(n-1)+B*a(n-2)+C]/p^r, where p^r is the highest power of p dividing [A*a(n-1)+B*a(n-2)+C], A=1.0001, B=1.0001, C=1.5, p=2.at n=18A053522
- Primes p whose period of reciprocal equals (p-1)/4.at n=29A056157