16650
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 45942
- Proper Divisor Sum (Aliquot Sum)
- 29292
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 1110
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 66
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Positive numbers k such that k and 3*k are anagrams in base 7 (written in base 7).at n=26A023069
- Multiplicity of highest weight (or singular) vectors associated with character chi_24 of Monster module.at n=38A034412
- Denominators of continued fraction convergents to sqrt(419).at n=10A041797
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,17.at n=7A064245
- Numbers k such that k-1, k+1 and k^2+1 are prime numbers.at n=32A070155
- Number of permutations of n distinct letters (ABCD...) each of which appears 5 times and having n-2 fixed points.at n=36A123296
- Numbers k such that 2k+1, 4k+1, 6k+1 and 8k+1 are primes.at n=13A124409
- Numbers k such that 2*k+1, 4*k+1, 8*k+1 and 16*k+1 are primes.at n=18A124412
- Numbers k such that 2*k+1, 4*k+1, 8*k+1, 16*k+1 and 32*k+1 are primes.at n=4A124413
- Numbers k such that 2*k+1, 4*k+1, 8*k+1, 16*k+1, 32*k+1 and 64*k+1 are primes.at n=1A124414
- Numbers m such that m^4-1 has no divisors d with 1 < d < m-1.at n=33A129293
- Averages of twin primes of the form : i^2+j^2, as sum of two squares.at n=30A143793
- a(n) = Sum_{k=1..n} 2^(n mod k).at n=26A198383
- Vandermonde sequence using x^2 + y^2 applied to the first n triangular numbers: 1,3,6,10,...,n(n+1)/2.at n=2A203695
- G.f. satisfies: A(x) = x*exp( Sum_{n>=1} A(sigma(n)*x^n) / n ).at n=10A229807
- Expansion of a(q)^2 * b(q) in powers of q where a(), b() are cubic AGM theta functions.at n=43A231948
- Numbers n such that for some m, A166133(m)=n, A166133(m+1)=n^2-1, in order of increasing m.at n=37A256406
- Numbers n such that for some m, A166133(m)=n, A166133(m+1)=n^2-1, in increasing order.at n=27A256407
- Row 5 of array in A265080.at n=6A265082
- Numbers k such that (4*10^k + 197)/3 is prime.at n=22A283447