6269
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6270
- 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
- 6268
- Möbius Function
- -1
- Radical
- 6269
- 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
- 62
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 815
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = A259095(2n,n).at n=19A005575
- Numbers k such that the continued fraction for sqrt(k) has period 81.at n=3A020420
- Let q_k=p(p+2) be product of k-th pair of twin primes; sequence gives values of p such that (q_k)^2 > q_{k-i}q_{k+i} for all 1 <= i <= k-1.at n=39A021005
- Primes that remain prime through 2 iterations of function f(x) = 8x + 7.at n=41A023263
- Primes that remain prime through 3 iterations of function f(x) = 8x + 7.at n=3A023294
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=37A031800
- Primes that are concatenations of n with n + 7.at n=8A032630
- Primes whose consecutive digits differ by 3 or 4.at n=22A048415
- Primes p such that p+2 and p+8 are also primes but p+6 is not.at n=35A049437
- First term of weak prime quintets: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3).at n=15A054823
- Primes such that replacing each digit d with d copies of the digit d produces a prime. Zeros are not allowed.at n=39A057628
- Primes p such that p^5 reversed is also prime.at n=36A059698
- Primes p that have exactly two primitive roots that are not primitive roots mod p^2.at n=27A060518
- Number of primes between n^4 and (n+1)^4.at n=27A061235
- Primes p such that p+2, 2p+1, and 2p+3 are also prime.at n=9A069142
- Define the composite field of a prime q to be f(q) = (t,s) if p, q, r are three consecutive primes and q-p = t and r-q = s. This is a sequence of primes q with field (6,2).at n=32A073651
- Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 5.at n=13A075585
- Primes in which no digit is coprime to its neighbors.at n=17A088297
- Smallest member of a pair of consecutive twin prime pairs that have two primes between them.at n=19A089634
- Sum of primes <= p is even and sum is twice a prime.at n=31A089894