772,885

5 × 331 × 467

772,885 factors as 5 × 331 × 467. Its 8 positive divisors give a proper-divisor sum of 159,371, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 5 × 331 × 467

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 932,256

Proper Divisor Sum 159,371

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #772867 ← → #772903

Radix Representation

Decimal	772885
Binary	10111100101100010101 (20 bits)
Octal	0o2745425
Hexadecimal	0xBCB15

Divisor Catalog (8)

1 5 331 467 1,655 2,335 154,577 772,885

Collatz Trajectory (87 steps to reach 1)

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

772,885 2,318,656 1,159,328 579,664 289,832 144,916 72,458 36,229 108,688 54,344 27,172 13,586 6,793 20,380 10,190 5,095 15,286 7,643 22,930 11,465 34,396 17,198 8,599 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820

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