6763
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6764
- 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
- 6762
- Möbius Function
- -1
- Radical
- 6763
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 36
- 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
- 871
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions into non-integral powers.at n=8A000347
- a(n) = Fibonacci(n+3) - 2.at n=17A001911
- a(n) = T(n, 2*n-5), T given by A027926.at n=14A027928
- Primes p such that digits of p appear in p^2 and p^3.at n=38A030085
- [ exp(5/17)*n! ].at n=6A030895
- 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 81.at n=15A031579
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 70 ones.at n=3A031838
- Lower prime of a pair of consecutive primes having a difference of 16.at n=21A031934
- Primes p such that x^23 = 2 has no solution mod p.at n=40A040984
- Discriminants of imaginary quadratic fields with class number 9 (negated).at n=27A046006
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 4.at n=44A050037
- Least prime in A031934 (lesser of 16-twins) whose distance to the next 16-twin is 6*n.at n=10A052357
- Smallest prime p having n different cycles in decimal expansions of k/p, k=1..p-1.at n=41A054471
- Prime number spiral (clockwise, Northeast spoke).at n=15A054553
- Number of 3-covers of an unlabeled n-set.at n=12A055195
- a(n) = T(n,n-5), array T as in A055801.at n=30A055805
- Erroneous version of A051694.at n=12A060321
- a(n) = 6*n^2 + 6*n + 31.at n=33A060834
- Primes of the form 6*k^2 + 6*k + 31.at n=30A060844
- Irregular primes with irregularity index three.at n=12A060975