7585
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9576
- Proper Divisor Sum (Aliquot Sum)
- 1991
- 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
- 5760
- Möbius Function
- -1
- Radical
- 7585
- Omega Function (Ω)
- 3
- 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
- 132
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Numbers that are the sum of 11 positive 7th powers.at n=41A003378
- Numbers that are the sum of 5 nonzero 8th powers.at n=10A003383
- Numbers that are the sum of at most 5 nonzero 8th powers.at n=35A004878
- Pseudoprimes to base 14.at n=29A020142
- Pseudoprimes to base 38.at n=40A020166
- Self-convolution of composite numbers.at n=22A023648
- Weight enumerator of [ 42,21,10 ] XQR code.at n=6A030646
- Numbers n such that 141*2^n-1 is prime.at n=18A050596
- Expansion of g.f. 1/(1-x-x^2-x^4-x^5).at n=16A079976
- Natural numbers written out with their digits grouped in sets of four (leading zeros omitted).at n=26A091332
- Number of sum-full subsets of {1,...,n}; subsets A such that there is a solution to x+y=z for x,y,z in A.at n=12A093971
- Expansion of e.g.f.: exp(6*x)/(1-6*x)^(1/6).at n=4A094905
- Numbers m that are the hypotenuse of exactly 13 distinct integer-sided right triangles, i.e., m^2 can be written as a sum of two squares in 13 ways.at n=37A097102
- Numbers of the form a^5 + b^4 with a, b > 0.at n=43A100294
- sigma(n) + n is a square.at n=21A114069
- Numbers k such that k and k^2 use only the digits 2, 3, 5, 7 and 8.at n=5A137083
- Primitive subsequence of A111105.at n=15A137559
- Numbers k such that the continued fraction of (1 + sqrt(k))/2 has period 9.at n=43A143577
- Weight distribution of [41,21,9] binary quadratic-residue (or QR) code.at n=29A146075
- Weight distribution of [41,21,9] binary quadratic-residue (or QR) code.at n=12A146075