7,635,104

2⁵ × 397 × 601

7,635,104 factors as 2^5 × 397 × 601. Its 24 positive divisors give a proper-divisor sum of 7,459,444, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^5 × 397 × 601

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,094,548

Proper Divisor Sum 7,459,444

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7635101 ← → #7635139

Radix Representation

Decimal	7635104
Binary	11101001000000010100000 (23 bits)
Octal	0o35100240
Hexadecimal	0x7480A0

Divisor Catalog (24)

Collatz Trajectory (80 steps to reach 1)

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

7,635,104 3,817,552 1,908,776 954,388 477,194 238,597 715,792 357,896 178,948 89,474 44,737 134,212 67,106 33,553 100,660 50,330 25,165 75,496 37,748 18,874 9,437 28,312 14,156 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38

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