16943
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16944
- 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
- 16942
- Möbius Function
- -1
- Radical
- 16943
- 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
- 58
- 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
- 1955
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Lower prime of a difference of 20 between consecutive primes.at n=32A031938
- Denominators of continued fraction convergents to sqrt(713).at n=9A042373
- The next smallest pair of numbers is taken so that a(2n-1)/a(2n) converges to Pi.at n=39A057082
- Denominators of convergents to Pi by Farey fractions.at n=17A063673
- a(1) = 3; a(n) = smallest number such that the forward as well as the reverse n-th partial concatenation is a prime for n>1. (Reverse concatenation is taken term-wise and not digit-wise).at n=28A083993
- Smallest prime ending in prime(n) and == 1 (mod prime(n)), or 0 if no such prime exists.at n=13A096069
- Primes congruent to 36 mod 53.at n=33A142566
- Primes congruent to 10 mod 59.at n=34A142737
- Primes congruent to 46 mod 61.at n=33A142844
- Primes p such that (p reversed)+ 8 is a square.at n=37A167470
- a(n) = 9*n^2 - 11*n + 3.at n=43A214660
- Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) > number of distinct parts of p.at n=40A241822
- a(n) = position of the first occurrence of n in A245714.at n=19A245723
- Primes arising from A249567.at n=17A249568
- Primes p for which exactly four bases b with 1 < b < p exist such that p is a base b Wieferich prime.at n=32A255207
- Number of n X 3 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 2 neighboring 1s.at n=11A296322
- a(n) is the largest prime p congruent to 1 mod n such that the multiplicative subgroup H of (Z/pZ)* of index n contains no nontrivial mod-p arithmetic progression of length 3.at n=41A298565
- SanD-50 primes: primes p such that p+d is also prime and sum of digits A007953(p(p+d)) = d, with d = 50.at n=43A307473
- a(n) is the least prime p such that the sum of the product of the n consecutive primes starting with p and the decimal digits of those primes is prime.at n=26A355369
- First of three consecutive primes p,q,r such that p+q, p+r and q+r are all triprimes.at n=7A362203