16477
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
- 16478
- 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
- 16476
- Möbius Function
- -1
- Radical
- 16477
- 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
- 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
- 1909
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 9x + 8.at n=38A023298
- Numbers whose base-4 representation contains exactly three 0's and four 1's.at n=23A045032
- Numerator of Sum_{k=1..n} phi(k)/k.at n=10A071708
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4, 6,6]; short d-string notation of pattern = [466].at n=25A078852
- Primes p such that the sum of the digits of p is not prime, but the sum of the squares of the digits of p is prime.at n=26A091362
- 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=21A091365
- Smallest prime equal to the sum of exactly 2n+1 distinct odd primes in at least n ways.at n=41A100697
- Prime arithmetic mean of ten consecutive primes.at n=37A123096
- Numbers n such that 6*p(n)-1 and 6*p(n)+1 are twin primes and 6*p(n+1)-1 and 6*p(n+1)+1 are also twin primes with p(n) = n-th prime.at n=22A126655
- Primes p such that p - q = 24, where q is the previous prime before p; or prime numbers preceded by precisely 23 composite numbers.at n=24A126720
- Primes of the form 2*3*5*7*k + 97.at n=40A141899
- Primes congruent to 47 mod 53.at n=38A142577
- Primes congruent to 16 mod 59.at n=30A142743
- Primes congruent to 7 mod 61.at n=37A142805
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 17 : primes in A146340.at n=29A146362
- Primes p such that 5*p+2, 7*p+4 and 11*p+6 are also prime.at n=20A173880
- Primes p such that (p^2+3*p-3) and (p^3+3*p^2-3) are also prime.at n=39A174259
- Primes p such that p^3 = q//3 for a prime q, where "//" denotes concatenation.at n=40A176838
- Primes which are the sum of two numbers of the form k*(k+1)^2/2.at n=37A210646
- a(n) = prime(n*prime(n)).at n=22A228529