16124
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 29400
- Proper Divisor Sum (Aliquot Sum)
- 13276
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7728
- Möbius Function
- 0
- Radical
- 8062
- 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
- 97
- 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
- a(n) = n*(7*n^2 - 1)/6.at n=24A004126
- Imaginary part of (1+2i)^n.at n=14A006496
- Smallest leg in right triangle with relatively prime sides and hypotenuse 5^n.at n=6A036842
- a(n) = 5^n*sin(2n*arctan(1/2)) or numerator of tan(2n*arctan(1/2)).at n=6A066770
- Let (A,B)=(a(2*n),a(2*n+1)), then (A,B) is (even,odd), gcd(A,B)=1 and A^2 + B^2 = 5^n. Note: a(0)=0.at n=28A098122
- Expansion of 1/(1 - 4*x + 5*x^2).at n=13A099456
- Sequence with Hankel transform equal to the Somos-4 sequence A006769(n+2).at n=17A178072
- Demi-tribonacci numbers (rounding down): a(0)=a(1)=0, a(2)=2; a(n) = floor( (a(n-1)+a(n-2)+a(n-3))/2 ).at n=50A180234
- Values of x such that x^2 + y^2 = 5^n with x and y coprime and 0 < x < y.at n=13A230710
- Exponents m such that the decimal expansion of 8^m exhibits its first zero from the right later than any previous exponent.at n=20A239013
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 1", based on the 5-celled von Neumann neighborhood.at n=6A269907
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 221", based on the 5-celled von Neumann neighborhood.at n=6A270935
- Number of minimal edge covers in the n-sun graph.at n=5A290763
- a(n) = Sum_{j=1..n*(n-1)} (n*j mod (n+j)).at n=14A309341
- Expansion of Product_{k>=1} (1 + k*x^k)^sigma(k), where sigma = A000203.at n=10A318484
- Number of simple graphs on n unlabeled nodes with maximum degree exactly 2.at n=24A324740
- Triangle read by rows: T(n, k) is the number of chains of length k in the poset of permutations of an n-set.at n=24A375835
- G.f. satisfies A(x) = A(x^2) - A(x^3)/A(-x^2).at n=54A385908