10674
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 23166
- Proper Divisor Sum (Aliquot Sum)
- 12492
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3552
- Möbius Function
- 0
- Radical
- 3558
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- Theta series of lattice D3 tensor D3 (dimension 9, det. 4096, min. norm 4).at n=8A033693
- Number of partitions of 5n such that cn(1,5) = cn(4,5) < cn(0,5) <= cn(2,5) = cn(3,5).at n=12A036890
- a(n) = (2*n-1)*(13*n^2-13*n+6)/6.at n=13A063493
- Row sums in A082259.at n=17A082261
- Expansion of (1-x)^(1/(x-1)).at n=6A087761
- Total number of perfect powers > 1 below 10^n, counting multiple representations separately.at n=7A089580
- Numbers k such that 10^k + 5*R_k + 4 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=19A102938
- Numbers k such that k and 8*k, taken together, are pandigital.at n=5A114126
- Take an n X n square grid of points in the plane; a(n) = number of non-isomorphic ways to divide the points into two sets using a straight line.at n=22A116696
- Engel expansion of Pi^Pi.at n=44A161618
- Numbers k such that A(k+1) = A(k) + 1, where A() = A005101() are the abundant numbers.at n=9A169822
- Index sequence for limit-block extending A000002 (Kolakoski sequence) with first term as initial block.at n=36A246145
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 22", based on the 5-celled von Neumann neighborhood.at n=37A269717
- The crystallogen sequence (a(n) = A018227(n)-4).at n=36A271996
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 451", based on the 5-celled von Neumann neighborhood.at n=25A272258
- a(n) = 108*n^2 - 228*n + 114 (n>=2).at n=9A304618
- Numbers that are the sum of 4 nonzero 4th powers in more than one way.at n=22A309763
- Number of rectangular plane partitions of n with strictly decreasing rows and columns.at n=41A323430
- Numbers that are the sum of four fourth powers in exactly two ways.at n=22A344193
- a(n) = A348507(A276086(n)), where A348507(n) = A003959(n) - n, A003959 is multiplicative with a(p^e) = (p+1)^e, and A276086 gives the prime product form of primorial base expansion of n.at n=47A348950