16393
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 17934
- Proper Divisor Sum (Aliquot Sum)
- 1541
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14976
- Möbius Function
- 0
- Radical
- 1261
- 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
- 53
- 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 k such that the continued fraction for sqrt(k) has period 51.at n=25A020390
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 85.at n=0A031673
- Denominators of continued fraction convergents to sqrt(823).at n=12A042589
- Members of A038512 of the form k, k+2, k+6, k+8.at n=21A155511
- Positive numbers y such that y^2 is of the form x^2 + (x+97)^2 with integer x.at n=10A157469
- Third entry in row n of triangle in A169945.at n=21A169947
- a(n) = 97*n^2.at n=13A174338
- a(n) = Sum_{d|n} d^sigma(d).at n=3A174472
- a(n) = 2^n + 9.at n=14A188165
- (A192469)/2.at n=6A192470
- Great rhombicosidodecahedron with faces of centered polygons.at n=6A193253
- Number of nX3 0..2 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor.at n=5A201534
- Number of nX6 0..2 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor.at n=2A201537
- T(n,k) is the number of n X k 0..2 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor.at n=30A201539
- T(n,k) is the number of n X k 0..2 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor.at n=33A201539
- 50k^2-40k-17 interleaved with 50k^2+10k+13 for k=>0.at n=37A217893
- Numbers of the form 4^j + 9^k, for j and k >= 0.at n=36A226828
- a(n) = p^2*(p^2+2*p-1)/2, where p = prime(n).at n=5A229738
- a(n) = q^2*(q^2+2*q-1)/2, where q = n-th prime power A000961(n).at n=9A229739
- First row of spectral array W(gamma^2+1).at n=13A250254