16811
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16812
- 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
- 16810
- Möbius Function
- -1
- Radical
- 16811
- 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
- 66
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1940
- 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)/5.at n=43A001135
- Smallest prime == 1 mod (n^2).at n=40A035091
- Numbers whose base-7 representation contains exactly four 0's.at n=9A043396
- Next prime after n^5.at n=6A053788
- Second term of strong prime 5-tuples: p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2).at n=38A054809
- Primes p whose period of reciprocal equals (p-1)/5.at n=35A056210
- Smallest prime > 7^n.at n=5A063767
- Number of two-rowed partitions of length 6.at n=25A070559
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={2}.at n=17A079969
- n^2-79*n+1601 as n runs through the lucky numbers.at n=34A087867
- k such that k-th prime is of the form 2n^2 + 3n + 3.at n=41A096690
- Primes of the form 4*k-1 such that 8*k-1 and 16*k-1 are also primes.at n=26A101791
- Primes of the form 7^k + 4.at n=4A104065
- Smallest prime >= 7^n.at n=5A104084
- Number of fused bicyclic skeletons with n carbon atoms (see Parks et al. for precise definition).at n=9A121327
- Prime sums of 5 positive 5th powers.at n=36A123034
- Primes p such that p - q = 24, where q is the previous prime before p; or prime numbers preceded by precisely 23 composite numbers.at n=26A126720
- List of triples of primes with common difference 24.at n=2A128383
- Primes p such that q = p+d (with d >= 6) is the next prime and both p and q are Sophie Germain primes.at n=30A128825
- Primes of the form 210n+11.at n=38A140840