759,964

2² × 313 × 607

759,964 factors as 2^2 × 313 × 607. Its 12 positive divisors give a proper-divisor sum of 576,420, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^2 × 313 × 607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,336,384

Proper Divisor Sum 576,420

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #759961 ← → #759973

Radix Representation

Decimal	759964
Binary	10111001100010011100 (20 bits)
Octal	0o2714234
Hexadecimal	0xB989C

Divisor Catalog (12)

1 2 4 313 607 626 1,214 1,252 2,428 189,991 379,982 759,964

Collatz Trajectory (79 steps to reach 1)

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

759,964 379,982 189,991 569,974 284,987 854,962 427,481 1,282,444 641,222 320,611 961,834 480,917 1,442,752 721,376 360,688 180,344 90,172 45,086 22,543 67,630 33,815 101,446 50,723 152,170 76,085 228,256 114,128 57,064 28,532 14,266 7,133 21,400 10,700 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805

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