16363
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16364
- 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
- 16362
- Möbius Function
- -1
- Radical
- 16363
- 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
- 71
- 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
- 1898
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Prime(n)*...*a(n) is the least product of consecutive primes which is non-deficient.at n=29A007686
- Prime(n)*...*a(n) is the least product of consecutive primes which is abundant.at n=29A007708
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 88 ones.at n=15A031856
- Discriminants of imaginary quadratic fields with class number 19 (negated).at n=29A046016
- Primes p from A031924 such that A052180(primepi(p)) = 13.at n=26A052233
- The nonprimes n!+2 ... n!+n are the a(n)-th string of n-1 prime-free consecutive terms, the first such one being the string of composite numbers A000230(k)+1 through A001632(k)-1 when n=2k, or through A001632(k)-2 when n=2k-1.at n=7A060977
- Primes such that the sum of their digits and the sum of the reciprocals of their digits is also prime.at n=9A064779
- Gives an LCD representation of n.at n=28A071843
- a(n)=A085956(3n).at n=26A086361
- a(n) = 8*n^2 + 88*n + 43.at n=40A086760
- Primes in which the digit string can be partitioned into three parts such that third (least significant) part is the product of the first two.at n=11A088294
- Prime numbers which when written in base 7 have a composite digit-sum.at n=30A096790
- Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 6.at n=35A119597
- Prime numbers p such that p +- ((p-1)/3) are primes.at n=17A137703
- Primes congruent to 7 mod 47.at n=39A142358
- Primes congruent to 39 mod 53.at n=39A142569
- Primes congruent to 20 mod 59.at n=33A142747
- Primes congruent to 15 mod 61.at n=32A142813
- Number of planar n X n X n binary triangular grids with no more than 2 ones in any similarly oriented 3 X 3 X 3 subtriangle.at n=6A153551
- a(n) = A030068(4n+1).at n=46A169739