6967
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6968
- 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
- 6966
- Möbius Function
- -1
- Radical
- 6967
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 895
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=46A001136
- Number of increasing rooted connected graphs where every block is a complete graph.at n=6A007549
- Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways.at n=52A013583
- First occurrence of exactly n identical terms in A007448.at n=41A016046
- Primes that are palindromic in base 9.at n=17A029977
- 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=8A031581
- Base-9 palindromes that start with 1.at n=25A043028
- Primes whose sum of digits is the perfect number 28.at n=10A048517
- Primes p such that p+4 and p+16 are also primes.at n=45A049492
- Primes or negative values of primes in the sequence b(n) = 47*n^2 - 1701*n + 10181, n >= 0.at n=2A050267
- Expansion of 1/(1-3*x-x^4).at n=8A052917
- a(n) = floor(A*a(n-1) + B*a(n-2) + C)/p^r, where p^r is the highest power of p dividing floor(A*a(n-1) + B*a(n-2) + C), A=1.0001, B=1.0001, C=1, p=2.at n=23A053521
- Restricted left truncatable (Henry VIII) primes.at n=6A055521
- Primes p such that x^43 = 2 has no solution mod p.at n=21A059243
- Primes p such that x^18 = 2 has no solution mod p, but x^6 = 2 has a solution mod p.at n=17A059664
- Primes p such that x^54 = 2 has no solution mod p, but x^6 = 2 has a solution mod p.at n=18A059665
- Primes p such that x^36 = 2 has no solution mod p, but x^12 = 2 has a solution mod p.at n=12A059668
- Primes p such that |p - q| is a square, where q is the reversal of p.at n=24A059798
- Primes p such that x^3 = 2 has a solution mod p, but x^(3^2) = 2 has no solution mod p.at n=36A070180
- a(n) = a(n-1) + sum of decimal digits of n^n.at n=46A071421