7,709,694

2 × 3 × 733 × 1753

7,709,694 factors as 2 × 3 × 733 × 1753. Its 16 positive divisors give a proper-divisor sum of 7,739,538, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 3 × 733 × 1753

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,449,232

Proper Divisor Sum 7,739,538

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7709693 ← → #7709699

Radix Representation

Decimal	7709694
Binary	11101011010001111111110 (23 bits)
Octal	0o35321776
Hexadecimal	0x75A3FE

Divisor Catalog (16)

1 2 3 6 733 1,466 1,753 2,199 3,506 4,398 5,259 10,518 1,284,949 2,569,898 3,854,847 7,709,694

Collatz Trajectory (98 steps to reach 1)

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

7,709,694 3,854,847 11,564,542 5,782,271 17,346,814 8,673,407 26,020,222 13,010,111 39,030,334 19,515,167 58,545,502 29,272,751 87,818,254 43,909,127 131,727,382 65,863,691 197,591,074 98,795,537 296,386,612 148,193,306 74,096,653 222,289,960 111,144,980 55,572,490 27,786,245 83,358,736 41,679,368 20,839,684 10,419,842 5,209,921 15,629,764 7,814,882 3,907,441 11,722,324 5,861,162 2,930,581 8,791,744 4,395,872 2,197,936 1,098,968 549,484 274,742 137,371 412,114 206,057 618,172 309,086 154,543 463,630 231,815 695,446 347,723 1,043,170 521,585 1,564,756 782,378 391,189 1,173,568 586,784 293,392

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