16371
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 25272
- Proper Divisor Sum (Aliquot Sum)
- 8901
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10176
- Möbius Function
- 0
- Radical
- 5457
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 128
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- 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=37A032918
- Number of ways of piling up n wine bottles above a row of n+1 bottles at ground level.at n=12A058300
- Numbers k such that binomial(2k,k)+1 is prime.at n=38A066699
- a(n) = 3*a(n-1) - a(n-2) - 3*a(n-3) + 2*a(n-4).at n=13A084173
- a(n) = 2^(n+1) - n.at n=12A095768
- a(n) = 2^(2*n)-(2*n-1).at n=7A100102
- Numbers m such that Sum_{p prime|m} p^r(p) = m, where r(p) is the least positive primitive root of p (A001918).at n=18A101051
- Number of permutations of length n which avoid the patterns 1234, 2431, 3421.at n=12A116834
- Number of 6-dimensional partitions of n up to conjugacy.at n=15A119341
- Row sums of triangle A132044.at n=14A132045
- Number of (w,x,y) with all terms in {0,...,n} and w < range{w,x,y}.at n=33A212967
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 435", based on the 5-celled von Neumann neighborhood.at n=13A288294
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 569", based on the 5-celled von Neumann neighborhood.at n=13A289408
- Number of square plane partitions of n with strictly decreasing rows and columns.at n=53A323530
- Indices of A224078(n) in A025487.at n=16A332241
- Numbers k at which point A336459(k) appears multiplicative, but A051027(k) does not.at n=28A336561
- Positive integers k such that k^2 = A^2+B^2+C^2 and A^3+B^3+C^3 = m^3, where gcd(A,B,C) = 1 and A, B, C, m are positive integers.at n=6A337251
- Numbers k such that A353802(k) / sigma(sigma(k)) is an integer > 1, where A353802(n) = Product_{p^e||n} sigma(sigma(p^e)).at n=9A353807
- The positive odd numbers x such that x = c^2 - y and +-x = a +- y, where (a,b,c) is a primitive Pythagorean triple (PPT), a is odd and y is an even positive integer.at n=27A357535
- Arithmetic derivatives of the sums of three primorials > 1.at n=36A370138