10600
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 25110
- Proper Divisor Sum (Aliquot Sum)
- 14510
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4160
- Möbius Function
- 0
- Radical
- 530
- Omega Function (Ω)
- 6
- 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
- 29
- 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
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly nine 1's.at n=35A020445
- Numbers that can be expressed as the product of two 3-digit numbers in at least one way.at n=12A033829
- Multiplicity of highest weight (or singular) vectors associated with character chi_161 of Monster module.at n=39A034549
- a(n) is the least integer greater than a(n-1) such that a(n-1)*2^a(n) - 1 is prime, a(1) = 1.at n=19A046809
- a(n) = (prime(n)+1)*(prime(n+1)+1)/4.at n=45A079079
- a(n) is the square of the n-th partial sum minus the n-th partial sum of the squares, divided by a(n-1), for all n>=1, starting with a(0)=1, a(1)=4.at n=12A087957
- In the interior of a regular 2n-gon with all diagonals drawn, the number of points where exactly three diagonals intersect.at n=23A101363
- Indices n of primes p(n), p(n+4) such that p(n)-1 and p(n+4)-1 have the same largest prime factor.at n=19A105407
- G.f. A(x) satisfies: A(x+x^2) = A(x)^2/(1+x).at n=8A122938
- Smallest k > 1 such that (sum of digits of k^n)*(sum of digits of k^(n+1)) = k, or 0 if no such k exists.at n=11A126783
- Coordination sequence for 16-dimensional cyclotomic lattice Z[zeta_40].at n=3A126928
- a(n) = floor(Fibonacci(n)/prime(n)).at n=30A130732
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 3 and 6.at n=44A136812
- Shifts 3 places left under Dirichlet convolution.at n=39A144367
- First bisection of A061039.at n=50A144448
- Terms of A061039 that are multiple of 10, in the order in which they appear.at n=20A146762
- Number of binary strings of length n with no substrings equal to 0000, 0011 or 1101.at n=18A164431
- Number of acyclic digraphs on n labeled nodes with one source and one sink.at n=4A165950
- Numbers k such that sigma(tau(k)) equals the sum of distinct primes dividing k.at n=32A173325
- Expansion of Product_{k>=1} (1 - x^(10*k))/(1 - x^k).at n=34A261776