7,740,965

5 × 103 × 15031

7,740,965 factors as 5 × 103 × 15031. Its 8 positive divisors give a proper-divisor sum of 1,639,003, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 5 × 103 × 15031

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,379,968

Proper Divisor Sum 1,639,003

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7740913 ← → #7740983

Radix Representation

Decimal	7740965
Binary	11101100001111000100101 (23 bits)
Octal	0o35417045
Hexadecimal	0x761E25

Divisor Catalog (8)

1 5 103 515 15,031 75,155 1,548,193 7,740,965

Collatz Trajectory (186 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,740,965 23,222,896 11,611,448 5,805,724 2,902,862 1,451,431 4,354,294 2,177,147 6,531,442 3,265,721 9,797,164 4,898,582 2,449,291 7,347,874 3,673,937 11,021,812 5,510,906 2,755,453 8,266,360 4,133,180 2,066,590 1,033,295 3,099,886 1,549,943 4,649,830 2,324,915 6,974,746 3,487,373 10,462,120 5,231,060 2,615,530 1,307,765 3,923,296 1,961,648 980,824 490,412 245,206 122,603 367,810 183,905 551,716 275,858 137,929 413,788 206,894 103,447 310,342 155,171 465,514 232,757 698,272 349,136 174,568 87,284 43,642 21,821 65,464 32,732 16,366 8,183

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