7,635,220

2² × 5 × 381761

7,635,220 factors as 2^2 × 5 × 381761. Its 12 positive divisors give a proper-divisor sum of 8,398,784, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 381761

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,034,004

Proper Divisor Sum 8,398,784

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7635217 ← → #7635223

Radix Representation

Decimal	7635220
Binary	11101001000000100010100 (23 bits)
Octal	0o35100424
Hexadecimal	0x748114

Divisor Catalog (12)

1 2 4 5 10 20 381,761 763,522 1,527,044 1,908,805 3,817,610 7,635,220

Collatz Trajectory (80 steps to reach 1)

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

7,635,220 3,817,610 1,908,805 5,726,416 2,863,208 1,431,604 715,802 357,901 1,073,704 536,852 268,426 134,213 402,640 201,320 100,660 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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