7,675,628

2² × 691 × 2777

7,675,628 factors as 2^2 × 691 × 2777. Its 12 positive divisors give a proper-divisor sum of 5,781,004, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 691 × 2777

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,456,632

Proper Divisor Sum 5,781,004

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7675621 ← → #7675637

Radix Representation

Decimal	7675628
Binary	11101010001111011101100 (23 bits)
Octal	0o35217354
Hexadecimal	0x751EEC

Divisor Catalog (12)

1 2 4 691 1,382 2,764 2,777 5,554 11,108 1,918,907 3,837,814 7,675,628

Collatz Trajectory (98 steps to reach 1)

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

7,675,628 3,837,814 1,918,907 5,756,722 2,878,361 8,635,084 4,317,542 2,158,771 6,476,314 3,238,157 9,714,472 4,857,236 2,428,618 1,214,309 3,642,928 1,821,464 910,732 455,366 227,683 683,050 341,525 1,024,576 512,288 256,144 128,072 64,036 32,018 16,009 48,028 24,014 12,007 36,022 18,011 54,034 27,017 81,052 40,526 20,263 60,790 30,395 91,186 45,593 136,780 68,390 34,195 102,586 51,293 153,880 76,940 38,470 19,235 57,706 28,853 86,560 43,280 21,640 10,820 5,410 2,705 8,116

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