8861
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8862
- 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
- 8860
- Möbius Function
- -1
- Radical
- 8861
- 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
- 122
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1104
- 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 odd period and if the last term of the periodic part is deleted the two central terms are both 37.at n=0A031625
- Denominators of continued fraction convergents to sqrt(913).at n=10A042765
- Primes with multiplicative persistence value 5.at n=22A046505
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 21.at n=12A051962
- Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223.at n=21A052163
- Numbers n such that the area of the parallelogram formed by the vectors (n, prime(n)) and (n+1, prime(n+1)) is an integer square, i.e., Det[{{n, prime(n)},{n+1, prime(n+1)}}] is an integer square.at n=34A067805
- Let sum(k>=0, k^n/(2*k+1)!) = (x(n)*e + y(n)/e)/z(n), where x(n) and z(n) are >0, then a(n)=x(n).at n=9A080093
- Indices of semiprimes where largest gap occurs. Or, positions of records in A065516.at n=14A085809
- Numbers which are primes and which remain prime for three successive applications of incrementing each digit by 2 with carries ignored.at n=15A088787
- Prime mean of 8 horizontal, vertical and main diagonal sums associated with primes in A094454.at n=8A094455
- Smallest prime having exactly n representations as a^2+b^2+c^2 with c >= b >= a > 0.at n=34A094714
- Balanced primes of order five.at n=24A096697
- Row sums of triangle A101224, which is related to the Flavius sieve (A000960).at n=21A101105
- a(n) = number of ks that make primorial P(n)/A019565(k)-A019565(k) prime.at n=15A103788
- Prime numbers p such that p+6, p^2+6^2, p^4+6^4 are all primes.at n=8A107441
- Prime numbers p such that p+6 and p^2+6^2 are both primes.at n=38A107442
- Partial sums of A107947.at n=44A107957
- Primes p such that [p,p+2] is a pair of twin primes and (p*(p+2)-1)/2 is prime.at n=37A109945
- Primes such that the sum of the predecessor and successor primes is divisible by 41.at n=25A113157
- Smallest prime of the form: all eights followed by prime(n). a(n)> prime(n). 0 if no such prime exists.at n=17A113890