10082
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
- 6
- Divisor Sum
- 15339
- Proper Divisor Sum (Aliquot Sum)
- 5257
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4970
- Möbius Function
- 0
- Radical
- 142
- Omega Function (Ω)
- 3
- 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
- 42
- 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 m such that phi(m) * sigma(m) + k^2 is not a square for any k.at n=31A015713
- Numbers n such that tau(sigma(n))= tau(tau(n)).at n=29A015730
- Number of perfect matchings in graph P_{2} X C_{7} X P_{n}.at n=2A028459
- 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 100.at n=7A031598
- Numbers that are not squarefree and whose Euler totient function is squarefree.at n=22A049198
- Numbers k such that sigma(k)*phi(k) is squarefree.at n=14A065299
- Reflective numbers: k such that the decimal encoding of the prime factorization of k (A067599) is palindromic.at n=43A066985
- Composite k such that sigma(k)-phi(k) is prime.at n=41A067252
- Number of subsets of {1,2,3,...,n} that sum to 0 mod 13.at n=17A068034
- If D[n] is divisor-set of n, then in set of 1+D only 2 primes occur:{2,3}; also n is not squarefree.at n=31A072607
- Numbers n such that n and n+2 are of the form p^2*q where p and q are distinct primes.at n=35A074173
- Maximum number of regions into which the plane can be divided using n (concave) quadrilaterals.at n=36A077591
- a(n) = 2*prime(n)^2.at n=19A079704
- Twice a square but not the sum of 2 distinct squares.at n=43A081324
- Positions of the records in A089294. First integer requiring a larger prime in its representation by (signed) sums of squares of distinct primes than all preceding integers.at n=8A089295
- Total number of leaves and degree-1 roots in the rooted trees of order n.at n=10A095337
- a(n) = Sum_{d|n} n!/(d!*(n/d)!).at n=8A121860
- Number of planar locally finite Cayley graphs of degree n.at n=8A122547
- a(n) = -(u^n-1)*(v^n-1) with u = 2+sqrt(3), v = 2-sqrt(3).at n=6A129743
- Table T(n,k) = -2*T(n-1,k)+T(n-1,k+1) = T(n,k-4), 0<=n.at n=39A140287