772,997

73 × 10589

772,997 factors as 73 × 10589. Its 4 positive divisors give a proper-divisor sum of 10,663, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 73 × 10589

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 783,660

Proper Divisor Sum 10,663

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #772991 ← → #773021

Radix Representation

Decimal	772997
Binary	10111100101110000101 (20 bits)
Octal	0o2745605
Hexadecimal	0xBCB85

Divisor Catalog (4)

1 73 10,589 772,997

Collatz Trajectory (255 steps to reach 1)

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

772,997 2,318,992 1,159,496 579,748 289,874 144,937 434,812 217,406 108,703 326,110 163,055 489,166 244,583 733,750 366,875 1,100,626 550,313 1,650,940 825,470 412,735 1,238,206 619,103 1,857,310 928,655 2,785,966 1,392,983 4,178,950 2,089,475 6,268,426 3,134,213 9,402,640 4,701,320 2,350,660 1,175,330 587,665 1,762,996 881,498 440,749 1,322,248 661,124 330,562 165,281 495,844 247,922 123,961 371,884 185,942 92,971 278,914 139,457 418,372 209,186 104,593 313,780 156,890 78,445 235,336 117,668 58,834 29,417

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