9048
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 25200
- Proper Divisor Sum (Aliquot Sum)
- 16152
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2688
- Möbius Function
- 0
- Radical
- 2262
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 39
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Place n equally-spaced points around a circle and join every pair of points by a chord; this divides the circle into a(n) regions.at n=23A006533
- Coordination sequence for sigma-CrFe, Position Xb.at n=24A009960
- Fibonacci sequence beginning 0, 24.at n=14A022358
- a(n) = n*(n + ceiling(2^n/12)).at n=13A029929
- Four times pentagonal numbers: a(n) = 2*n*(3*n-1).at n=39A033579
- Denominators of continued fraction convergents to sqrt(987).at n=7A042911
- Largest possible z-value of an integer solution (x,y,z) to 4/n = 1/x + 1/y + 1/z satisfying 0 < x < y < z. The x and y components are in A075245 and A075246.at n=26A075247
- Sum of composite numbers less than n-th prime.at n=35A079725
- Numbers that can be expressed as the difference of the squares of primes in just three distinct ways.at n=33A090782
- p(11p-7) where p is prime.at n=9A098998
- Numbers m not of the form k*(k+2) that have a single '1' in the periodic part of the continued fraction of sqrt(n).at n=33A102538
- Numbers k such that k^3 contains a pandigital substring.at n=9A115933
- Numbers n such that every digit occurs at least once in n^3.at n=38A119735
- Numbers k such that binomial(4k, k) - 1 is prime.at n=13A125240
- Binomial transform of A127358.at n=7A126932
- Sums of three consecutive pentagonal numbers.at n=44A129863
- Numbers k such that the numerator of the Bernoulli number B(2k) ends with the digits 691.at n=35A132184
- Integral quotients of products of consecutive composites divided by their sums: sums (divisors).at n=23A141091
- Shifts 2 places left under Dirichlet convolution.at n=28A144366
- a(n) = 1728*n - 1320.at n=5A157263