16729
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16730
- 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
- 16728
- Möbius Function
- -1
- Radical
- 16729
- 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
- 1934
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime formed by appending a number to the n-th prime.at n=38A030670
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 70 ones.at n=29A031838
- a(n) = p.q in decimal notation where p = prime(n) and q is the smallest prime (A066065(n)) such that the concatenation p.q is a prime.at n=38A066064
- Primes that can be formed by concatenating 2^a and 3^b.at n=30A068801
- Primes p of the form 2*prime(k) + 3 such that 2*prime(k+1) + 3 is the next prime after p.at n=32A089528
- Primes p such that the sum of the digits of p is not prime, but the sum of the cubes of the digits of p is prime.at n=22A091365
- Numbers k such that 2*prime(k)+1, 2*prime(k+1)+1 and 2*prime(k+2)-1 are also consecutive primes.at n=7A103851
- Numbers n such that 2*P(n)+1, 2*P(n+1)+1, and 2*P(n+2)-1 are also consecutive primes with P(n+1)=P(n)+6 and P(n+2)=P(n+1)+2 with P(i)=i-th prime.at n=6A103852
- Low point in segment n of A079051.at n=46A117518
- Left truncatable primes in base 9 (written in decimal form).at n=47A129945
- Primes of the form 76x^2+20xy+145y^2.at n=30A140629
- Primes congruent to 44 mod 47.at n=35A142395
- Primes congruent to 34 mod 53.at n=36A142564
- Primes congruent to 32 mod 59.at n=31A142759
- Primes congruent to 15 mod 61.at n=34A142813
- Euler transform of A051064, the ruler function sequence for k=3.at n=29A173241
- First of a run of 4 or more consecutive primes which all equal 1 (mod 3).at n=32A185942
- a(2)=1, a(3)=2; thereafter a(n) = 2a(n-1)-a(n-2)+A046919(n).at n=10A210726
- 2*n^3 - 313*n^2 + 6823*n - 13633.at n=19A218456
- List of prime factors of 10^(10^(10^100)) - 10.at n=31A227246