16339
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16340
- 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
- 16338
- Möbius Function
- -1
- Radical
- 16339
- 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
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1895
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of directed site animals on hexagonal lattice.at n=15A006861
- a(0) = 1, a(n) = 17*n^2 + 2 for n>0.at n=31A010007
- Convolution of the lower and upper Wythoff sequences (A000201 and A001950).at n=27A023664
- a(n) = 2^n - 45 with n>5, a(5)=1.at n=9A036564
- Fifth term of strong prime quintets: p(m-3)-p(m-4) > p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1).at n=37A054812
- Numbers k such that k and k^2 use only the digits 1, 2, 3, 6 and 9.at n=25A136981
- Primes congruent to 21 mod 41.at n=39A142218
- Primes congruent to 30 mod 47.at n=40A142381
- Primes congruent to 22 mod 49.at n=41A142432
- Primes congruent to 15 mod 53.at n=35A142545
- Primes congruent to 55 mod 59.at n=32A142782
- Primes congruent to 52 mod 61.at n=32A142850
- Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected in a 3X2 elbow 1,1 1,2 1,3 2,3 in any orientation.at n=12A145947
- Primes appearing as sums in A152471.at n=6A152473
- Primes p such that p + 4, p + 16, p + 64, p + 256 and p + 1024 are all semiprimes.at n=14A241493
- Number of length 3+2 0..n arrays with some pair in every consecutive three terms totalling exactly n.at n=13A245872
- Numbers n such that (4 * 6^n + 1)/5 is prime.at n=21A248613
- Number of length n arrays of permutations of 0..n-1 with each element moved by -3 to 3 places and every four consecutive elements having its maximum within 4 of its minimum.at n=21A263712
- Numbers k such that k^8192 + (k+1)^8192 is prime.at n=4A274237
- Primes p such that (p^2+q^2)/2 and (q^2 + 2*p*q - p^2)/2 are prime, where q is the next prime after p.at n=36A340037