16396
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
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 28700
- Proper Divisor Sum (Aliquot Sum)
- 12304
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8196
- Möbius Function
- 0
- Radical
- 8198
- 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
- yes
- Odd
- no
Appears in sequences
- Number of edges in the Hasse diagrams for the D-analogs of the partition lattices.at n=6A039765
- Row sums of even numbered rows of array T in A050870 (periodic binary words).at n=14A050871
- a(n) = A077704(n+1)/A077704(n).at n=17A077705
- a(n) = 2^(n+1) + n - 1.at n=13A083706
- Inverse Euler transform of A000960.at n=21A099066
- Duplicate of A083706.at n=13A122039
- Counts of unique periodic binary strings of length n.at n=28A152061
- Maximum number of tatami tilings of any m X m square region with exactly n horizontal dimers and m monomers.at n=27A192096
- Number of 0..1 arrays x(0..n-1) of n elements with each no smaller than the sum of its three previous neighbors modulo 2.at n=25A200661
- Number of (n+1)X(n+1) -4..4 symmetric matrices with every 2X2 subblock having sum zero and two, three or four distinct values.at n=4A211497
- Numbers m such that A166133(m+1) = A166133(m)^2 - 1.at n=25A256703
- E.g.f.: Sum_{n>=0} (x^n + y^n)^n / n! - Sum_{n>=0} y^(n^2) / n! at y=2.at n=3A265269
- a(n) is the smallest number that is the sum of n positive 6th powers in two ways.at n=13A343079
- Number of configurations of the 7 X 2 variant of the sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners.at n=18A346736
- Expansion of (theta_3(x) - 1)^6 / (32 * (3 - theta_3(x))).at n=24A347809
- Irregular triangle T(n,k) = 2^(floor(n/3)-k) * nextprime(2^(n-2*(floor(n/3)-k))), with k = 0..floor(n/3)-1.at n=38A384875