10006
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
- 4
- Divisor Sum
- 15012
- Proper Divisor Sum (Aliquot Sum)
- 5006
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5002
- Möbius Function
- 1
- Radical
- 10006
- 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
- 179
- 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
- yes
- Odd
- no
Appears in sequences
- Number of nonnegative solutions to x^2 + y^2 + z^2 <= n^2.at n=26A000604
- Number of partitions with no even part repeated; partitions of n in which no parts are multiples of 4.at n=39A001935
- Number of unlabeled distributive lattices on n nodes.at n=19A006982
- 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=1A031598
- Numbers having three 0's in base 10.at n=14A043491
- Numbers not ending in 0 whose cubes are concatenations of other cubes.at n=7A061341
- Centered 23-gonal numbers.at n=29A069174
- Numbers k such that k+1, k^2+1 and k^4+1 are primes.at n=32A070325
- Numbers k such that k^4 + 1, (k+2)^4 + 1 and (k+4)^4 + 1 are all primes.at n=10A073476
- Number of partitions of 2n+1 in which no parts are multiples of 4.at n=19A081056
- a(1) = 2; for n>1, a(n) is the smallest integer > a(n-1) such that all primes <= a(n-1) divide at least one integer k for a(n-1) < k <= a(n).at n=14A113117
- a(1) = 2. a(n) is smallest integer > a(n-1) which is a multiple of the largest prime <= a(n-1).at n=14A113118
- Number of integer-sided pentagons having perimeter n.at n=44A124285
- Number of base 16 circular n-digit numbers with adjacent digits differing by 5 or less.at n=4A125379
- Lesser of twin simili-primes of order 2.at n=35A126699
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 3 and 6.at n=33A136812
- Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m*k + 1)*T(n-1, k, m) + m*k*(n-k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1 and m = 3, read by rows.at n=17A157149
- Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m*k + 1)*T(n-1, k, m) + m*k*(n-k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1 and m = 3, read by rows.at n=18A157149
- Let P be a one-move "rider" with move set M={(1,2)}; a(n) is the number of non-attacking positions of two indistinguishable pieces P on an n X n board.at n=11A222308
- Numbers k such that m^2 + k^2/m^2 is prime for every m|k.at n=46A236423