12709
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12960
- Proper Divisor Sum (Aliquot Sum)
- 251
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12460
- Möbius Function
- 1
- Radical
- 12709
- 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
- 55
- 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
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 96 ones.at n=1A031864
- Row 3 of square array defined in A047671.at n=18A047672
- McKay-Thompson series of class 18e for the Monster group.at n=42A058543
- a(n) = 5a(n-1) - 5a(n-2) + a(n-3) with a(0) = 4, a(1) = 17, a(2) = 65.at n=6A102207
- McKay-Thompson series of class 36b for the Monster group.at n=42A112173
- Semiprimes whose factors are decimal palindromes when concatenated, omitting multiples of primes less than 11.at n=34A144719
- Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1010-1111-0100 pattern in any orientation.at n=15A146638
- a(n) = 10*n^2 - 7*n + 1.at n=36A158186
- Expansion of x*(2 - 3*x + x^2 - 4*x^3 + 3*x^4 - 2*x^5 + x*(1 - x - x^3)*sqrt((1 + 2*x)/(1 - 2*x)))/(2*(1 - 3*x + 3*x^2 - 3*x^3 + 4*x^4 - 3*x^5 + 2*x^6)).at n=15A160254
- Number of (n+1) X 3 binary arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors.at n=15A186455
- The least nonsquare number s having exactly n twos in the periodic part of the continued fraction of sqrt(s).at n=35A206582
- Total number of parts of multiplicity 5 in all partitions of n.at n=39A222705
- Number of partitions of n such that the number of parts having multiplicity >1 is a part and the number of distinct parts is not a part.at n=39A241411
- Number of n X 4 0..1 arrays with every element equal to 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.at n=18A298163
- Solution (a(n)) of the complementary equation in Comments.at n=8A298173
- Rectangular array R read by antidiagonals: R(n,k) = F(n+1)^k - k*F(n-1)*F(n)^(k-1), where F(n) = A000045(n), the n-th Fibonacci number; n >= 0, k >= 1.at n=49A318405
- Irregular table whose rows are the nontrivial cycles of the ghost iteration A329200, ordered by increasing smallest member, always listed first.at n=1A329196
- Products of exactly two distinct primes in A090252, in order of appearance.at n=42A354160
- Products of exactly two distinct odd primes in A090252, in order of appearance.at n=40A354162
- Number of n-digit zeroless numbers whose digit sum is larger than the product of all digits.at n=16A360972