9003
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12008
- Proper Divisor Sum (Aliquot Sum)
- 3005
- 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
- 6000
- Möbius Function
- 1
- Radical
- 9003
- 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
- 78
- 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
- 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 31.at n=34A031529
- Becomes prime after exactly 7 iterations of f(x) = sum of prime factors of x.at n=12A047826
- Numbers n such that 91*2^n-1 is prime.at n=25A050571
- Integer part of log(n)^sqrt(n).at n=45A062463
- Nearest integer to log(n)^sqrt(n).at n=45A062464
- Numbers k that, when expressed in base 6 and then interpreted in base 9, give a multiple of k.at n=15A062939
- Expansion of 1/(1 - 2*x - x^2 - x^3).at n=10A077939
- Expansion of 1/(1 + 2*x - x^2 + x^3).at n=10A077986
- Number of unlabeled 3-trees on n vertices.at n=11A078792
- Final digits of the smallest triangular number starting with n!.at n=7A096565
- Convolution of A010060 and A000244.at n=9A101555
- Numbers k such that 5*10^k + R_k + 8 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=12A103007
- Matrix square of triangle A136220, read by rows.at n=23A136225
- Matrix cube of triangle V = A136230, read by rows.at n=10A136237
- Smallest sequence which lists the position of digits "8" in the sequence.at n=36A167450
- Number of (n+2) X 8 0..1 matrices with each 3 X 3 subblock idempotent.at n=12A224557
- The Matula number of the rooted tree obtained from the rooted tree T having Matula number n by replacing each edge of T with a path of length 2.at n=33A257538
- Numbers n such that n^1024 + (n+1)^1024 is prime.at n=11A274234
- Expansion of (1/(1 - x))* Product_{k>=1} (1 + x^k)/(1 + x^(3*k)).at n=57A304632
- Number of edges in an equilateral triangle when n internal equilateral triangles are drawn between the 3n points that divide each side into n+1 equal parts.at n=39A357008