10289
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10290
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10288
- Möbius Function
- -1
- Radical
- 10289
- 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
- 60
- 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
- 1262
- 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 77.at n=9A020416
- a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026780.at n=5A027249
- 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 11.at n=11A031599
- Upper prime of a difference of 16 between consecutive primes.at n=33A031935
- Pisot sequence L(3,8).at n=8A048579
- a(n) = A061086(n) / n.at n=16A061087
- Lonely non-twin primes: non-twins sandwiched between two pairs of twins.at n=39A068016
- Primes whose digits can be arranged in increasing cyclic order - to form a substring of 123456789012345678901234567890...at n=24A068710
- Numbers k such that Lucas(2k)/3 is prime.at n=19A074304
- Five-digit distinct-digit primes.at n=6A074671
- Expansion of (1-x)/(1+2*x^2+x^3).at n=27A078036
- a(1) = 1 and then the smallest primes such that all a(k)-a(j) are distinct composite numbers.at n=44A079850
- Primes p such that p-1 and p+1 are both divisible by cubes (other than 1).at n=35A086708
- a(n) = r-th prime of the form (p-q)/(q-r) with r=prime(n+1), q=prime(n+2), and primes p > q.at n=65A089577
- a(1) = 1; then primes associated with A091850.at n=29A091851
- Primes of the form 37n+3.at n=38A100203
- Number of triples (i,j,k) with 1 <= i <= j < k <= n and gcd{i,j,k} = 1.at n=41A100448
- Highly cototient numbers that are prime, or intersection of A000040 and A100827.at n=29A105440
- a(n) = 104*n + 9977.at n=3A126978
- Primes p such that the left prime neighbors p1, p2 of p as well as the right prime neighbors q1, q2 of p form twin prime pairs and the sum p1 + p2 + p + q1 + q2 is also prime.at n=14A138396