9673
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10260
- Proper Divisor Sum (Aliquot Sum)
- 587
- 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
- 9088
- Möbius Function
- 1
- Radical
- 9673
- 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
- 60
- 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
- a(n) = floor(n(n+2)(2n+1)/8).at n=33A002717
- Pseudoprimes to base 86.at n=40A020214
- Strong pseudoprimes to base 76.at n=15A020302
- Numbers k such that the continued fraction for sqrt(k) has period 23.at n=40A020362
- Expansion of (x^3+2*x+1) / ((x-1)^4*(x^2+x+1)^2).at n=48A038391
- Start with 1 and repeatedly reverse the digits and add 42 to get the next term.at n=22A118075
- First differences of A132581.at n=43A132582
- a(n) = (4*n^3 + 11*n^2 + 9*n + 2)/2.at n=16A135712
- Primitive subsequence of A111105.at n=17A137559
- a(1)=1, a(n) = a(n-1) + n^4 if n odd, a(n) = a(n-1) + n^0 if n is even.at n=8A140157
- Number of binary strings of length n with no substrings equal to 0001 0101 or 1100.at n=15A164474
- a(n) = n^2 + 731*n + 1.at n=13A180919
- Product of exactly two distinct primes congruent to 1 mod 8 (A007519).at n=31A185377
- Number of 4-element nondividing subsets of {1, 2, ..., n}.at n=28A187491
- Semiprimes p such that next semiprime after p is p + 10.at n=35A217030
- Number of length n arrays of permutations of 0..n-1 with each element moved by -6 to 6 places and with no two consecutive increases.at n=7A263641
- Second largest coefficient among the polynomials in row n of the triangle of q-binomial coefficients.at n=17A277271
- Terms of A121707 not in A267999.at n=39A306097
- Number of integer partitions of 2n without a nonempty initial consecutive subsequence summing to n.at n=17A362051
- Number of integer partitions of n without a nonempty initial consecutive subsequence summing to n/2.at n=34A362558