9762
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19536
- Proper Divisor Sum (Aliquot Sum)
- 9774
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3252
- Möbius Function
- -1
- Radical
- 9762
- 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
- 135
- 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
- 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=10A031596
- Numbers n such that 173*2^n-1 is prime.at n=25A050838
- a(n) equals the (n*(n+1)/2)-th partial sum of the self-convolution cube of A010054, which has the g.f.: Sum_{k>=0} x^(k*(k+1)/2).at n=26A109414
- Difference between A095765 and A095766.at n=23A113858
- Parameters k for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3+k has order 16.at n=14A179130
- Number of representations of 5^(2n) as a sum a^2 + b^2 + c^2 with 0 < a <= b <= c.at n=7A185055
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and -2<=w+x+y<=2.at n=26A211616
- T(n,k) = Number of idempotent n X n 0..k matrices of rank 2.at n=24A224114
- Number of idempotent 4X4 0..n matrices of rank 2.at n=3A224115
- T(n,k)=Number of idempotent n X n 0..k matrices of rank n-2.at n=24A224118
- Abundant numbers that differ from the next abundant number by 3.at n=41A228382
- Numbers m such that there is a k with 2^m/(m+1) < binomial(m,k) <= 2^m/m and k < m/2.at n=43A229485
- Irregular triangle read by rows: normalized dimensions of certain generalized quadratic residue codes of length n.at n=34A287879
- Expansion of Product_{k=1..8} theta_3(q^k), where theta_3() is the Jacobi theta function.at n=50A320234
- a(n) is the number of arches for semi-meanders with n top arches that have exactly two covering arches.at n=10A322507
- Number of partitions of n into 3 or more distinct parts.at n=53A347548
- Triangle read by rows: T(n,k) is the sum of the lengths of the free polyominoes with n cells and length k, n >= 1, k >= 1.at n=50A379638
- Indices where the cumulative sum of cos(2k+1)^(2k+1) reaches a record low value.at n=3A389560