9283
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9284
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 9282
- Möbius Function
- -1
- Radical
- 9283
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 60
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1150
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Continued fraction for zeta(7).at n=62A013683
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=41A024842
- 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 95.at n=22A031593
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 64 ones.at n=10A031832
- Numerators of continued fraction convergents to sqrt(181).at n=6A041334
- Numerators of continued fraction convergents to sqrt(724).at n=8A042394
- Discriminants of imaginary quadratic fields with class number 11 (negated).at n=31A046008
- Non-adding primes: next term is smallest prime not the sum of any primes so far.at n=17A060341
- A B_2 sequence: a(n) is the smallest prime such that the pairwise sums of distinct elements are all distinct.at n=45A062294
- Primes containing 2k digits in which the sum of the first k digits is that of the last k digits.at n=55A068896
- Number of graphical partitions of simple Eulerian graphs (partitions given by the degrees of vertices of simple (no loops or multiple edges) graphs having only vertices of even degrees) having n edges.at n=44A069831
- Smallest k>n such that n^3+1 divides k*n^2+1.at n=21A071568
- Largest prime factor of p(n), the n-th partition number A000041(n) (with a(0) = a(1) = 1 by convention).at n=50A071963
- Leading diagonal of triangle in A072467.at n=16A072468
- a(n) = 6*n^2 + 4*n + 1.at n=39A080859
- Primes whose 10's complement is a palindrome.at n=40A083017
- First of 9 consecutive primes in a 3 X 3 spiral wherein the mean of all 8 sums is prime.at n=29A094454
- Primes of the form n^3 + n + 1.at n=11A095692
- Row and column sums of A001223 ( Differences between consecutive primes - see example ).at n=11A109755
- Primes such that the sum of the predecessor and successor primes is divisible by 37.at n=28A113156