8017
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8018
- 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
- 8016
- Möbius Function
- -1
- Radical
- 8017
- 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
- 145
- 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
- 1010
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- From a Goldbach conjecture: records in A185091.at n=46A002092
- Primes of the form m^2 + 3m + 9, where m can be positive or negative.at n=27A005471
- Number of unlabeled connected identity interval graphs with n nodes.at n=9A005974
- arcsin(cos(x)*arcsin(x))=x-1/3!*x^3-7/5!*x^5+23/7!*x^7+8017/9!*x^9...at n=4A012482
- Numbers k such that the continued fraction for sqrt(k) has period 39.at n=12A020378
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 5.at n=41A031418
- Number of partitions of n with equal number of parts congruent to each of 2 and 3 (mod 5).at n=42A035559
- Numbers whose base-6 representation has exactly 6 runs.at n=16A043614
- Primes with first digit 8.at n=19A045714
- Primes p such that q-p = 22, where q is the next prime after p.at n=12A061779
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 79 ).at n=31A063352
- Primes p for which the exponent of the highest power of 2 dividing p! is equal to prevprime(prevprime(p)).at n=34A064396
- Primes containing 2k digits in which the sum of the first k digits is that of the last k digits.at n=45A068896
- Primes p such that sum of even digits of p equals sum of odd digits of p.at n=37A076167
- a(n) = n^3 + 17.at n=20A084379
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 16.at n=18A095651
- Primes p such that 2*p-27, 2*p+27, 2*p-33 and 2*p+33 are primes or -1 times primes.at n=16A103807
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 7.at n=16A109561
- Numbers k such that k*(k+8) gives the concatenation of two numbers m and m-8.at n=1A116239
- Primes in A046992.at n=45A122516