16857
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 24362
- Proper Divisor Sum (Aliquot Sum)
- 7505
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11232
- Möbius Function
- 0
- Radical
- 5619
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 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
- Convolution of natural numbers with Beatty sequence for the golden mean A000201.at n=38A023541
- Sums of distinct powers of 7.at n=37A033044
- Partial sums of A000009 (partitions into distinct parts).at n=45A036469
- Positive numbers having the same set of digits in base 2 and base 7.at n=31A037412
- Sums of 3 distinct powers of 7.at n=11A038482
- Smallest magic constant for any n X n magic square made from consecutive primes, or 0 if no such magic square exists.at n=16A073520
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k pyramids.at n=67A094322
- Composite numbers n such that 8*n^2-2*n-1 divides the primitive part U(n) of Fibonacci(n).at n=35A159234
- Sum of a positive square and a positive cube in at least three ways.at n=30A171385
- Partial sums of A048995.at n=49A174514
- Eight white queens and one red queen on a 3 X 3 chessboard. G.f.: (1 - 2*x)/(1 - 5*x - 3*x^2).at n=6A180036
- Number of nX7 0..1 arrays with rows and antidiagonals unimodal.at n=2A223679
- T(n,k)=Number of nXk 0..1 arrays with rows and antidiagonals unimodal.at n=38A223680
- Number of 3 X n 0..1 arrays with rows and antidiagonals unimodal.at n=6A223681
- Number of distinct values of the sum of 4 products of three 0..n integers.at n=16A225261
- Number of (n+2)X(n+2) 0..4 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime.at n=1A251877
- Number of (n+2)X(2+2) 0..4 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime.at n=1A251879
- T(n,k)=Number of (n+2)X(k+2) 0..4 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime.at n=4A251885
- Smallest magic sum for any n X n semimagic square made from consecutive primes, or 0 if no such magic square exists.at n=16A270829
- Length of shortest prefix of the Kolakoski sequence K (A000002) containing all blocks of length n that appear in K.at n=38A283511