9268
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18592
- Proper Divisor Sum (Aliquot Sum)
- 9324
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3960
- Möbius Function
- 0
- Radical
- 4634
- Omega Function (Ω)
- 4
- 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
- 34
- 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
- Denominators of continued fraction convergents to sqrt(559).at n=11A042071
- Numbers m such that 2*phi(m) = phi(m+1).at n=15A050472
- Numbers k such that 63*2^k-1 is prime.at n=33A050557
- Integers n > 1997 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 1997.at n=19A063055
- a(1)=1; a(n) = a(n-1) + [sum of all decimal digits present so far in the sequence].at n=40A072921
- a(n) = n^3 + 7.at n=21A084377
- If n mod 2 = 0 then 2*Sum(floor(C(n,w)/(2*w+1)),w=0..n/2-1)+floor(C(n,n/2)/(n+1)) otherwise 2*Sum(floor(C(n,w)/(2*w+1)),w=0..(n-1)/2).at n=17A085570
- Numbers n such that numerator(Bernoulli(2*n)/(2*n)) is different from numerator(Bernoulli(2*n)/(2*n*(2*n+1))).at n=33A090177
- Numbers k such that 4*10^k + 6*R_k - 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=24A099005
- Exponential Riordan array (e^(x(1+x)),x).at n=38A122832
- Number of binary strings of length n with equal numbers of 01110 and 10001 substrings.at n=14A164264
- Number of (w,x,y,z) with all terms in {1,...,n} and |w-x|>=|x-y|+|y-z|.at n=14A212574
- a(n) = Sum_{i=1..n} (A077068(i) - A077065(i)).at n=41A232221
- a(n) = n*(9*n + 25)/2 + 6.at n=44A235332
- Number T(n,k) of rooted trees with n nodes and colored non-root nodes using exactly k colors; triangle T(n,k), n>=1, 0<=k<=n-1, read by rows.at n=30A256064
- Numbers n such that the decimal expansions of both n and n^2 have 2 as smallest digit and 9 as largest digit.at n=33A257485
- Predestined numbers A262743 in which every term is generated by at least one pair of products where all (and only those) first product's factor's digits are, in reverse order, the same as those of the second two factors.at n=34A262873
- Numbers n such that Bernoulli number B_{n} has denominator 870.at n=26A272185
- Products of distinct numbers in A052963.at n=35A274453
- Number of nonequivalent ways (mod D_3) to place rooks on an n X n X n triangular grid so that no two of them are on the same row, column or diagonal.at n=9A283117