16044
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 43008
- Proper Divisor Sum (Aliquot Sum)
- 26964
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4560
- Möbius Function
- 0
- Radical
- 8022
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 190
- 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
- Expansion of 1/((1+x)*(1-x)^7).at n=13A001769
- Theta series of {D_14}^{+} lattice.at n=8A004534
- Theta series of D_14 lattice.at n=2A022045
- Theta series of D*_14 lattice.at n=8A022067
- Fibonacci iteration starting with (1, a(n)) leads to a "nine digits anagram".at n=23A034587
- Number of partitions satisfying (cn(1,5) = cn(4,5) and cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5)).at n=52A036810
- G.f. satisfies: 13*A(x) = 12 + 27*x + A(x)^4, starting with [1,3,6].at n=6A120595
- Number of binary strings of length n with no substrings equal to 0011 or 0101.at n=19A164406
- Smallest k such that the number of composites of the form a^2 + 1 between two successive primes of this form equals 2n-1.at n=48A208132
- Cyclops numbers whose squares are cyclops numbers.at n=24A239827
- Number of ways of writing n as a sum of 14 squares.at n=4A276286
- Trajectory of 270 under repeated application of k -> (phi(k)+sigma(k))/2.at n=16A291789
- Number of permutations of [n] whose lengths of increasing runs are distinct triangular numbers.at n=16A317446
- a(n) = (2/3)*n*(n^3 - 6*n^2 + 11*n - 3).at n=14A319575
- a(n) is the least k such that A345468(k) = 2*n-1.at n=50A345469
- Irregular table read by rows: Place a point on the integer coordinates, up to |n|, along all four axial directions on a Cartesian plane, and then join an infinite straight line between every pair of points: T(n,k) is the number of k-sided finite polygons formed, for k>=3, in the resulting graph.at n=30A386562