9759
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13016
- Proper Divisor Sum (Aliquot Sum)
- 3257
- 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
- 6504
- Möbius Function
- 1
- Radical
- 9759
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 153
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite EUO = EU-1 Nan[AlnSi112-nO224] starting with a T4 atom.at n=12A019123
- Discriminants of quintic fields with 2 complex conjugates (negated).at n=10A023684
- Sums of 7 distinct powers of 3.at n=29A038469
- Numerators of continued fraction convergents to sqrt(501).at n=8A041956
- Trajectory of 23 under map that sends x to 3x - sigma(x), where sigma(x) is the sum of the divisors of x.at n=11A058545
- Numbers n such that numerator(Bernoulli(2*n)/(2*n)) is different from numerator(Bernoulli(2*n)/(2*n*(2*n+1))).at n=34A090177
- Conjectured numbers n such that the trajectory of n as defined in A003508 is unique.at n=37A105233
- This is to A139025 as A139025 to A014688, see A139025 for details.at n=19A139026
- Number of partitions of n containing at least one prime.at n=33A235945
- Number of partitions p of n such that the number of numbers having multiplicity 1 in p is a part and the number of numbers having multiplicity > 1 is not a part.at n=42A241416
- Number of partitions of n with difference 8 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=34A242699
- Intersection of A269315 and A269314.at n=35A269316
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n), where a(0) = 2, a(1) = 4, b(0) = 1, b(1) = 3, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences.at n=15A295947
- Number of nonempty subsets of {1..n} whose geometric mean is an integer.at n=79A326027
- The numbers of a square spiral with 1 in the center, lying at integer points of the right branch of the parabola y=n^2.at n=7A357281
- Numbers k such that A361338(k) = 8.at n=21A361347
- Expansion of 1 / ( (1 - 8*x^4) * (1 - x/(1 - 8*x^4)^(1/4)) ).at n=17A373627
- a(n) is the numerator of the probability that a self-avoiding random walk on the cubic lattice is trapped after n steps.at n=3A377161