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783,594

2 × 34 × 7 × 691
Abundant Even Composite

783,594 factors as 2 × 3^4 × 7 × 691. Its 40 positive divisors give a proper-divisor sum of 1,225,974, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 691
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,009,568
Proper Divisor Sum 1,225,974
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #783571 ← → #783599

Radix Representation

Decimal 783594
Binary 10111111010011101010 (20 bits)
Octal 0o2772352
Hexadecimal 0xBF4EA

Divisor Catalog (40)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 691 1,134 1,382 2,073 4,146 4,837 6,219 9,674 12,438 14,511 18,657 29,022 37,314 43,533 55,971 87,066 111,942 130,599 261,198 391,797 783,594

Collatz Trajectory (131 steps to reach 1)

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

783,594 391,797 1,175,392 587,696 293,848 146,924 73,462 36,731 110,194 55,097 165,292 82,646 41,323 123,970 61,985 185,956 92,978 46,489 139,468 69,734 34,867 104,602 52,301 156,904 78,452 39,226 19,613 58,840 29,420 14,710 7,355 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834

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