7,628,804

2² × 19 × 100379

7,628,804 factors as 2^2 × 19 × 100379. Its 12 positive divisors give a proper-divisor sum of 6,424,396, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 100379

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,053,200

Proper Divisor Sum 6,424,396

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7628773 ← → #7628807

Radix Representation

Decimal	7628804
Binary	11101000110100000000100 (23 bits)
Octal	0o35064004
Hexadecimal	0x746804

Divisor Catalog (12)

1 2 4 19 38 76 100,379 200,758 401,516 1,907,201 3,814,402 7,628,804

Collatz Trajectory (80 steps to reach 1)

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

7,628,804 3,814,402 1,907,201 5,721,604 2,860,802 1,430,401 4,291,204 2,145,602 1,072,801 3,218,404 1,609,202 804,601 2,413,804 1,206,902 603,451 1,810,354 905,177 2,715,532 1,357,766 678,883 2,036,650 1,018,325 3,054,976 1,527,488 763,744 381,872 190,936 95,468 47,734 23,867 71,602 35,801 107,404 53,702 26,851 80,554 40,277 120,832 60,416 30,208 15,104 7,552 3,776 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38

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