771,673

7 × 23 × 4793

771,673 factors as 7 × 23 × 4793. Its 8 positive divisors give a proper-divisor sum of 148,775, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 7 × 23 × 4793

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 920,448

Proper Divisor Sum 148,775

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #771653 ← → #771679

Radix Representation

Decimal	771673
Binary	10111100011001011001 (20 bits)
Octal	0o2743131
Hexadecimal	0xBC659

Divisor Catalog (8)

1 7 23 161 4,793 33,551 110,239 771,673

Collatz Trajectory (131 steps to reach 1)

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

771,673 2,315,020 1,157,510 578,755 1,736,266 868,133 2,604,400 1,302,200 651,100 325,550 162,775 488,326 244,163 732,490 366,245 1,098,736 549,368 274,684 137,342 68,671 206,014 103,007 309,022 154,511 463,534 231,767 695,302 347,651 1,042,954 521,477 1,564,432 782,216 391,108 195,554 97,777 293,332 146,666 73,333 220,000 110,000 55,000 27,500 13,750 6,875 20,626 10,313 30,940 15,470 7,735 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374

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