6959
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6960
- 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
- 6958
- Möbius Function
- -1
- Radical
- 6959
- 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
- 88
- 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
- 893
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of binary forests with n nodes.at n=14A003214
- Number of factorization patterns of polynomials of degree n over integers.at n=18A006171
- Numbers k such that the continued fraction for sqrt(k) has period 88.at n=11A020427
- a(n) = Sum_{k=1..n} floor((n/k) * floor((n/k) * floor(n/k))).at n=17A024922
- 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 83.at n=6A031581
- Decimal concatenation of n-th lucky number and n-th prime number.at n=16A032604
- Numerators of continued fraction convergents to sqrt(54).at n=6A041092
- p, p+8 and p+12 are primes.at n=40A046141
- Primes whose consecutive digits differ by 3 or 4.at n=24A048415
- Primes p such that p+2 and p+8 are also primes but p+6 is not.at n=39A049437
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 3.at n=11A050665
- Sum of transposition distances (divided by 2) present in the permutation produced by inverses of 1..(p-1) computed in Zp, where p is n-th prime.at n=43A051864
- Primes p such that x^49 = 2 has no solution mod p, but x^7 = 2 has a solution mod p.at n=1A059667
- Numbers k such that the smoothly undulating palindromic number (32*10^k - 23)/99 is a prime.at n=5A062217
- Numbers k such that 90^k - 89^k is prime.at n=3A062656
- a(n) = A075443(A075451(n)).at n=21A075452
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[2,6,4]; short d-string notation of pattern = [264].at n=15A078848
- The quintuples (d1,d2,d3,d4,d5) with elements in {2,4,6} are listed in lexicographic order; for each quintuple, this sequence lists the smallest prime p >= 7 such that the differences between the 6 consecutive primes starting with p are (d1,d2,d3,d4,d5), if such a prime exists.at n=6A078872
- Sorted version of A078872.at n=33A078873
- Primes p such that the differences between the 5 consecutive primes starting with p are (2,6,4,6).at n=5A078949