9267
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12360
- Proper Divisor Sum (Aliquot Sum)
- 3093
- 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
- 6176
- Möbius Function
- 1
- Radical
- 9267
- 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
- 109
- 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
- From George Gilbert's marks problem: jumping 7 marks at a time (final positions).at n=12A019998
- 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=21A031593
- "EGJ" (unordered, element, labeled) transform of 1,3,5,7...at n=7A032316
- Number of split semiorders on n points.at n=7A058259
- Numbers k such that the digits of k joined to the digits of 2k contain each of the digits from 1 to 9 once.at n=9A064160
- Polynomial (1/3)*n^3 + (9/2)*n^2 + (85/6)*n - 2.at n=26A073775
- a(n) = n^3 + 6.at n=21A084382
- Number of compositions of n such that every part occurs with the same multiplicity.at n=25A098504
- Indices of primes in sequence defined by A(0) = 43, A(n) = 10*A(n-1) + 33 for n > 0.at n=24A101730
- Starting numbers for which the RATS sequence has eventual period 14.at n=23A114615
- Number of partitions of n with difference 5 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=36A242696
- Consider a number x as a concatenation of two integers, a and b: x = concat(a,b). Take their sum and repeat the process deleting the minimum number and adding the previous sum. The sequence lists the numbers that after some iterations reach a sum equal to themselves.at n=44A248134
- 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=32A257485
- Numbers n such that n^1024 + (n+1)^1024 is prime.at n=13A274234
- a(n) is the number of prime 5-digit palindromes in base n.at n=54A333673
- Numbers that are the sum of seven fourth powers in five or more ways.at n=9A345571
- Numbers that are the sum of seven fourth powers in exactly five ways.at n=9A345827
- a(n) is the minimum sum of a nonnegative integer 4-tuple that takes n moves to reach a 0 component, where a move picks two components, subtracts the smaller from the larger, and doubles the smaller.at n=11A383586
- a(n) is the smallest k > n such that prime(k)# contains the digits of prime(n)# as a substring.at n=9A390378