9455
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11904
- Proper Divisor Sum (Aliquot Sum)
- 2449
- 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
- 7200
- Möbius Function
- -1
- Radical
- 9455
- 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
- 153
- 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
- no
- Odd
- yes
Appears in sequences
- Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.at n=30A000330
- a(n) = floor(n*(n-1)*(n-2)/24).at n=62A011842
- Odd square pyramidal numbers.at n=15A015221
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor(n/2), s = (odd natural numbers).at n=29A025112
- Number of partitions of n into parts not of the form 25k, 25k+4 or 25k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=35A036003
- a(n) = Sum_{k=1..n, gcd(n,k) = 1} k^2.at n=30A053818
- Consider the line segment in R^n from the origin to the point P=(1,2,3,...,n); let d = squared distance to this line from the closest point of Z^n (excluding the endpoints). Sequence gives d times P.P.at n=29A059774
- Numbers k such that the period of the continued fraction for sqrt(5)*k is 2.at n=30A065030
- a(n) = (1/24)*(sigma_3(2*n-1) - sigma_1(2*n-1)).at n=30A081861
- Class numbers of fields in A085715.at n=21A085716
- Class numbers of fields in A085715.at n=22A085716
- Least area/6 of primitive Pythagorean triangles with odd leg 2n+1.at n=29A096893
- Sequence and first differences include all square numbers exactly once.at n=29A109678
- 1/24 of product of three numbers: n-th prime, previous and following number.at n=16A127922
- a(n) = Sum_{k=1..phi(n)} k*t(k), where t(k) is the k-th positive integer which is coprime to n and phi(n) is the number of positive integers which are <= n and are coprime to n.at n=30A135324
- 5 times hexagonal numbers: 5*n*(2*n-1).at n=31A152745
- 5 times centered pentagonal numbers: 5*(5*n^2 + 5*n + 2)/2.at n=27A164015
- Partial sums of [A080782^2].at n=29A164765
- Numbers k such that Mordell's equation y^2 = x^3 - k has exactly 8 integral solutions.at n=40A179168
- Number of strings of numbers x(i=1..5) in 0..n with sum i*x(i)^2 equal to n*25.at n=36A184444