9046
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13572
- Proper Divisor Sum (Aliquot Sum)
- 4526
- 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
- 4522
- Möbius Function
- 1
- Radical
- 9046
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 91
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=35A024844
- Numbers k such that k^2 is palindromic in base 16.at n=23A029733
- 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 94.at n=17A031592
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 64 ones.at n=9A031832
- a(n) = (9*n^2 - 3*n + 2)/2.at n=45A080855
- Third row of Pascal-(1,4,1) array A081579.at n=27A081587
- Numbers that have an "a" in the middle of their names in Spanish.at n=36A160775
- a(n) = 1 + ((6*n-1)*2^n + (-1)^n)/3.at n=9A174836
- Partial sums of A045699.at n=32A178494
- Numbers k such that m^2 + k^2/m^2 is prime for every m|k.at n=44A236423
- Generated by a rearranging problem (see links for precise definition).at n=47A256961
- a(n) = A273059(4n+1).at n=16A275917
- a(n) is the binary XOR of all n-bit triangular numbers.at n=13A298818
- Number of move sequences of length 2n on the "8 Puzzle" which leave the final state unchanged when the empty cell starts in a corner.at n=6A343146
- Numbers that can be written in exactly two different ways as s_1^x_1 + ... + s_t^x_t, with 1 < s_1 < ... < s_t and {s_1,..., s_t} = {x_1,..., x_t} for some t > 0.at n=18A386966