8287
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8288
- 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
- 8286
- Möbius Function
- -1
- Radical
- 8287
- 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
- 65
- 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
- 1039
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 100.at n=12A020439
- Every suffix prime and no 0 digits in base 9 (written in base 9).at n=41A024784
- Primes such that digits of p do not appear in p^3.at n=17A030087
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 91.at n=1A031589
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=24A031816
- Primes that are concatenations of n with n + 5.at n=8A032628
- Number of cluster primes less than 10^n.at n=5A039506
- Digitally balanced numbers in both bases 2 and 3.at n=3A049361
- Primes at which the difference pattern X424Y (X and Y >= 6) occurs in A001223.at n=16A052166
- Primes followed by a [4,2,4] prime difference pattern of A001223.at n=24A052378
- Primes of the form k^2+6.at n=11A056909
- Number of open positions in the game Fair Share and Varied Pairs starting with n tokens.at n=32A060463
- a(n) is the smallest positive integer such that no term in S={a(1),...,a(n)}, n>=3, divides the sum of any two other distinct terms of S, after first initializing the sequence with a(1)=3 and a(2)=4.at n=37A068573
- a(n) = prime(n*(n+1)/2+4).at n=45A078725
- Primes in which odd positioned digits are prime and even positioned digits are composite. The least significant digit is taken to be the first digit.at n=47A083820
- Primes p such that the sum of the digits of p is not prime, but the sum of the squares of the digits of p is prime.at n=11A091362
- Total number of parts in all compositions of n into distinct odd parts.at n=38A097936
- Primes p such that 6p + 7 is a square.at n=31A110014
- a(n) = nextprime((2*n-1)^2) for n >= 2, a(1) = 3.at n=45A111693
- Primes such that the sum of the predecessor and successor primes is divisible by 41.at n=24A113157