9472
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
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 19418
- Proper Divisor Sum (Aliquot Sum)
- 9946
- 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
- 4608
- Möbius Function
- 0
- Radical
- 74
- Omega Function (Ω)
- 9
- 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
- 29
- 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
- Numbers that are the sum of 2 squares but not sum of 3 nonzero squares.at n=51A000549
- A generalized partition function.at n=15A002602
- Expansion of tanh(tan(x))*tan(x)/2.at n=5A024249
- Numbers that are the sum of 4 nonzero squares in exactly 7 ways.at n=37A025363
- Greatest number in row n of array T given by A027144.at n=10A027155
- 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 47.at n=34A031545
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+11 or 24k-11. Also number of partitions in which no odd part is repeated, with at most 5 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=46A036034
- Numerators of continued fraction convergents to sqrt(638).at n=5A042224
- n is divisible by the 4th power of the number of unitary divisors of n (A034444).at n=36A048170
- a(n) = Fibonacci(n) AND Fibonacci(n+1).at n=24A051122
- a(n) = (11*n^2 - 11*n + 2)/2.at n=41A069125
- Numbers m such that [A070080(m), A070081(m), A070082(m)] is an acute scalene integer triangle with prime side lengths.at n=26A070123
- Expansion of (1-x)/(1-2*x+2*x^2-2*x^3).at n=24A078003
- Binomial transform of A084265.at n=9A084266
- a(n) = direuler(p=2,n,1/(1-X)/(1-p*n*X))[n].at n=20A089745
- Interleave n+1 and 2n+1 and take binomial transform.at n=11A098156
- Values of n for which the concatenations 1nn1, 3nn3, 7nn7 and 9nn9 are all primes.at n=10A102504
- a(n) = 4*(n+1)^2*(3*n+1)^2*(12*n^2+20*n+5).at n=1A109122
- a(n) = 4*(n+1)^2*(n+3)^2*(5*n^2 + 20*n + 12).at n=1A109123
- (1,3)-entry of the 3 X 3 matrix M^n, where M = {{0, -1, 1}, {1, 1, 0}, {0, 1, 1}}.at n=25A122788