16741
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16742
- 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
- 16740
- Möbius Function
- -1
- Radical
- 16741
- 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
- 40
- 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
- 1935
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n with equal nonzero number of parts congruent to each of 3 and 4 (mod 5).at n=47A035571
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 3.at n=15A050665
- Numbers p from A001125 such that 2*p-3 is prime.at n=21A063939
- First occurrence prime gaps of the primes in sequence A002313 (Real primes with corresponding complex primes). a(0) = 2 with length of gap 3. For n>0 the size of the gap in the sequence is 4n, a(n) is the starting prime of the gap.at n=22A084160
- Primes that are the sum of two squares and which set a record for the gap to the next prime of that form.at n=11A084161
- Primes such that a sum of any two adjacent digits is prime; first and last digits are considered adjacent.at n=44A086244
- Balanced primes of order eight.at n=26A096700
- Integer part of the area of circles with prime radii.at n=20A097427
- Primes of the form floor(Pi*p^2) where p is a prime.at n=4A134075
- Running prime totals of prime factors (without multiplicity) of consecutive composite N.at n=39A140610
- Primes congruent to 9 mod 47.at n=35A142360
- Primes congruent to 46 mod 53.at n=35A142576
- Primes congruent to 44 mod 59.at n=33A142771
- Primes congruent to 27 mod 61.at n=32A142825
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 9: primes in A143577.at n=37A146354
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (-1, 0, 0), (0, -1, 1), (1, 1, 0)}.at n=9A149118
- Numbers k such that Sum_{i=1..k} i^9 divides Product_{i=1..k} i^9.at n=4A166609
- Chen primes A109611(k) which have the same sum-of-digits as their index k.at n=34A176012
- Primes of the form 2*n^2+6*n+1.at n=15A176549
- Prime numbers 3*n-2 such that n, 2*n-1 and 3*n-2 are prime.at n=26A180025