9746
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15984
- Proper Divisor Sum (Aliquot Sum)
- 6238
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4420
- Möbius Function
- -1
- Radical
- 9746
- Omega Function (Ω)
- 3
- 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
- 122
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- [ (4th elementary symmetric function of S(n))/(2nd elementary symmetric function of S(n)) ], where S(n) = {first n+3 positive integers congruent to 1 mod 3}.at n=13A024223
- Number of 9's in all partitions of n.at n=40A024793
- 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 98.at n=8A031596
- Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n and having k ladders.at n=53A098093
- Abs(*+-) n Sequence.at n=44A119518
- Expansion of x/((1-x)^2(1+x-x^3-x^4-x^5-x^6-x^7+x^9+x^10)).at n=44A143611
- a(n) = 361*n - 1.at n=26A158308
- Half the number of nX3 binary arrays with the number of 1-1 horizontal, vertical, diagonal and antidiagonal adjacencies equal to the number of 0-0 adjacencies.at n=6A183284
- Half the number of nX7 binary arrays with the number of 1-1 horizontal, vertical, diagonal and antidiagonal adjacencies equal to the number of 0-0 adjacencies.at n=2A183288
- T(n,k) = Half the number of n X k binary arrays with the number of 1-1 horizontal, vertical, diagonal and antidiagonal adjacencies equal to the number of 0-0 adjacencies.at n=38A183289
- T(n,k) = Half the number of n X k binary arrays with the number of 1-1 horizontal, vertical, diagonal and antidiagonal adjacencies equal to the number of 0-0 adjacencies.at n=42A183289
- Numbers k such that k^2 + 1 = p*q, p and q primes and |p-q| is square.at n=24A187401
- Number of -n..n arrays x(0..3) of 4 elements with sum zero and with zeroth through 3rd differences all nonzero.at n=12A200040
- Number of (n+2)X(n+2) binary arrays avoiding patterns 000 and 101 in rows, columns and nw-to-se diagonals.at n=3A202524
- Number of (n+2) X 6 binary arrays avoiding patterns 000 and 101 in rows, columns and nw-to-se diagonals.at n=3A202528
- T(n,k) = Number of (n+2) X (k+2) binary arrays avoiding patterns 000 and 101 in rows, columns and nw-to-se diagonals.at n=24A202532
- a(n) = n*(1 + n)*(3 - 4*n + 4*n^2)/6.at n=10A213840
- Number of ways to partition the multiset consisting of n copies each of 1, 2, and 3 into n sets of size 3.at n=16A254233
- Numbers whose binary representation traces a non-selfcrossing circuit in the honeycomb lattice when each one of its bits, from the most significant to the least significant, is interpreted as a direction to proceed at each vertex.at n=33A255561
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 275", based on the 5-celled von Neumann neighborhood.at n=24A271093