16349
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
- 16350
- 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
- 16348
- Möbius Function
- -1
- Radical
- 16349
- 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
- 159
- 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
- 1896
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers whose set of base-11 digits is {1,3}.at n=35A032918
- Numbers k such that k^2 is formed from two subsquares that overlap in a single digit.at n=11A048422
- Primes p such that x^61 = 2 has no solution mod p.at n=33A059230
- Primes p such that x^67 = 2 has no solution mod p.at n=29A059330
- Primes such that successive differences are distinct palindromes.at n=39A087582
- Primes p such that the p-1 digits of the binary expansion of k/p (for k=1,2,3,...,p-1) fit into the k-th row of a magic square grid of order p-1.at n=12A096339
- Indices of primes in sequence defined by A(0) = 93, A(n) = 10*A(n-1) + 53 for n > 0.at n=7A101017
- Smallest prime factor of prime(n)! - prime(n)# + 1.at n=5A103856
- Primes congruent to 9 mod 43.at n=40A142258
- Primes congruent to 40 mod 47.at n=39A142391
- Primes congruent to 25 mod 53.at n=38A142555
- Primes congruent to 6 mod 59.at n=33A142733
- Number of walks within N^2 (the first quadrant of Z^2) starting and ending at (0,0) and consisting of n steps taken from {(-1, -1), (-1, 0), (-1, 1), (0, -1), (0, 1), (1, -1)}.at n=11A151349
- Primes congruent to 1 mod 61.at n=33A212378
- Primes p such that f(p) and f(f(p)) are both prime, where f(x) = x^2-x-1.at n=39A238447
- Number of pairs (lambda,mu) of partitions lambda of n and mu of eight with mu <= lambda (by diagram containment).at n=14A303858
- Numbers that can be written in more than one way as p^2 + q^3 + r^4 with p, q and r primes.at n=25A318530
- The smallest prime that becomes 2 * prime(n), when all the bits in its binary expansion are inverted, or -1 if no such prime exists.at n=6A339268
- a(n) is the smallest prime p > k such that p + k is a power of 2, where k = 2*n - 1, or 0 if no such prime exists.at n=17A343738
- Prime numbersat n=1896