13016
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 24420
- Proper Divisor Sum (Aliquot Sum)
- 11404
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6504
- Möbius Function
- 0
- Radical
- 3254
- Omega Function (Ω)
- 4
- 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
- 76
- 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
- G.f.: (1 + x^4 + x^7 + 2*x^8 + x^9 + x^12 + x^16)/Product_{i=1..8} (1 - x^i).at n=34A003405
- Number of positive integers <= 2^n of form 4 x^2 + 7 y^2.at n=17A054171
- G.f.: (1 + Sum_{ i >= 0 } 2^i*x^(2^(i+1)-1)) / (1-x)^3.at n=45A063916
- Smallest magic constant for any n X n magic square made from consecutive primes, or 0 if no such magic square exists.at n=15A073520
- Numerator of 2 * H(n,2,1), a generalized harmonic number. See A075135. Also 2 * A350669.at n=5A074599
- Number of neighbor-avoiding polygons of perimeter 2n on square lattice.at n=10A121769
- Number of (w,x,y) with all terms in {0,...,n} and w<x+y and x<y.at n=31A212980
- Length of the closed curve through Gaussian primes described in A222298.at n=41A222300
- Numerators of the expectation of the process defined by randomly moving 2n balls between bins.at n=5A233470
- Smallest magic sum for any n X n semimagic square made from consecutive primes, or 0 if no such magic square exists.at n=15A270829
- Numbers k such that 6*10^k + 73 is prime.at n=22A285937
- a(n) = smallest potential magic constant for an n X n magic square composed of consecutive primes.at n=15A342124
- Cycle lengths obtained by repeated application of the distance-minimizing variant of the strip bijection for the square lattice described in A367150.at n=24A367146
- Length of cycles obtained by repeated application of the distance-minimizing strip bijection for the square lattice (A367150), sorted by increasing minimum radius visited by any cycle of this length.at n=22A367894
- Square array read by upward antidiagonals: T(n, k) = numerator( 2*k!*(-2)^k*Sum_{m=1..n}( 1/(2*m-1)^(k+1) ) ).at n=21A370692