9270
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 24336
- Proper Divisor Sum (Aliquot Sum)
- 15066
- 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
- 2448
- Möbius Function
- 0
- Radical
- 3090
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 91
- 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
- Expansion of 1/((1-4x)(1-5x)(1-10x)(1-11x)).at n=3A028127
- Trajectory of 1 under map n->23n+1 if n odd, n->n/2 if n even.at n=9A033968
- Trajectory of 3 under map n->23n+1 if n odd, n->n/2 if n even.at n=5A037109
- Numbers whose base-5 representation contains exactly two 0's and three 4's.at n=24A045213
- a(n) = p(0) + p(1) + ... + p(n) - n - 1, where p = partition numbers, A000041.at n=25A058682
- Second 11-gonal (or hendecagonal) numbers: a(n) = n*(9*n+7)/2.at n=45A062728
- Satisfies a(n)/A079159(n) = p_n, the n-th prime (n>0), a(0)=1.at n=27A079161
- Coefficients of the solution to a functional equation.at n=8A093113
- Slowest increasing sequence where the absolute difference between the last digit of a(n) and the first digit of a(n+1) equals 9.at n=39A101243
- Positive integers k such that k^20 + 1 is semiprime (A001358).at n=34A105282
- Sum of primes q with prime(n) < q < 2*prime(n).at n=43A108313
- Triangle T, read by rows, equal to the matrix square of triangle A113350, where T transforms column k of T into column k+1 of T.at n=16A113355
- Column 1 of triangle A113355, also equals column 0 of A113355^2.at n=4A113357
- Even numbers which are the sum of two odd abundant numbers.at n=25A168226
- Numbers k such that k^3 +-7 are primes.at n=31A176685
- Record (maximal) gaps between prime triples (p, p+2, p+6).at n=25A201598
- Number of n-digit 5th powers.at n=21A216655
- Number of unlabeled simple graphs with n nodes of 2 colors whose components are path graphs.at n=10A217194
- Numbers of the form x^3 + SumOfCubedDigits(x).at n=21A225051
- Numbers m such that the GCD of the x's that satisfy sigma(x) = m is 2.at n=30A241647