10580
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
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 23226
- Proper Divisor Sum (Aliquot Sum)
- 12646
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4048
- Möbius Function
- 0
- Radical
- 230
- Omega Function (Ω)
- 5
- 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
- 117
- 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) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3).at n=44A024312
- a(n) = (d(n)-r(n))/2, where d = A026060 and r is the periodic sequence with fundamental period (1,0,0,0).at n=41A026061
- a(n) = floor( sqrt(2) * (3/2)^n ).at n=22A033320
- a(n) = 5*n^2.at n=46A033429
- Numbers whose base-2 representation has exactly 12 runs.at n=28A043579
- Numbers from A066112 that are neither square nor twice a square, i.e., are not in A028982 but are in A028983.at n=36A066134
- Even elements of A082931.at n=38A082933
- Ramanujan numbers (A000594) read mod 23^3.at n=35A126847
- Sum of all numbers from n to n-th prime.at n=34A161624
- Number of binary strings of length n with equal numbers of 00000 and 00011 substrings.at n=14A164180
- a(1)=1. a(n) = A005179(d(a(n-1))) + a(n-1), where d(n) = the number of divisors of n, and A005179(n) is the smallest positive integer with exactly n divisors.at n=41A175300
- G.f. A(x) satisfies: 1 = Sum_{n>=0} x^n*A(-x)^A001650(n+1), where A001650 is defined by "n appears n times (n odd).".at n=8A192455
- a(n) = 20*n^2.at n=23A195322
- Sum of all parts minus the total numbers of parts of all partitions of n.at n=20A196087
- Number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = n + 4.at n=34A210376
- G.f.: exp( Sum_{n>=1} binomial(6*n-1, 3*n) * x^n/n ).at n=3A213403
- Number of orbits of Aut(Z^7) as function of the infinity norm n of the representative lattice point of the orbit, when the cardinality of the orbit is equal to 26880.at n=24A266397
- Expansion of Sum_{k>=0} x^(k*(k+1)/2) * Product_{j=1..k} (1 + j*x^j).at n=59A306732
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x + 529)^2 = y^2.at n=10A309998
- Indices of primes followed by a gap (distance to next larger prime) of 38.at n=25A320717