13071
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 17432
- Proper Divisor Sum (Aliquot Sum)
- 4361
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8712
- Möbius Function
- 1
- Radical
- 13071
- Omega Function (Ω)
- 2
- 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
- 138
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Powers of sqrt(15) rounded down.at n=7A017949
- Powers of sqrt(15) rounded to nearest integer.at n=7A017950
- Powers of fourth root of 15 rounded down.at n=14A018087
- Powers of fourth root of 15 rounded to nearest integer.at n=14A018088
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 76.at n=23A031574
- Number of asymmetric n-ominoes in n-2 space.at n=10A036366
- Nearest integer to n^(7/2).at n=15A036489
- Numbers whose base-4 representation contains exactly three 0's and four 3's.at n=4A045080
- a(n) is the least positive integer such that nextprime(a(n)^n) - prevprime(a(n)^n) = 4.at n=37A090125
- Indices k such that A020507(k)=Phi[k](-8) is prime, where Phi is a cyclotomic polynomial.at n=30A138922
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (-1, 0, 1), (1, 0, 0), (1, 1, -1)}.at n=10A148227
- a(n) = floor(sqrt(n^7)).at n=15A155014
- G.f. satisfies: A(x/A(x)^3) = G(x) where G(x) = 1 + x*G(x)^3 is the g.f. of A001764.at n=5A168478
- Number of 1X6 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 1 zero-sum 6-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=13A192693
- Number of length n+2 0..1 arrays with at most two downsteps in every n consecutive neighbor pairs.at n=15A256817
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 625", based on the 5-celled von Neumann neighborhood.at n=22A273272
- Least number x such that x^n has n digits equal to k. Case k = 7.at n=15A285454