647,667

3² × 71963

647,667 factors as 3^2 × 71963. Its 6 positive divisors give a proper-divisor sum of 287,865, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 3^2 × 71963

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 935,532

Proper Divisor Sum 287,865

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #647663 ← → #647687

Radix Representation

Decimal	647667
Binary	10011110000111110011 (20 bits)
Octal	0o2360763
Hexadecimal	0x9E1F3

Divisor Catalog (6)

1 3 9 71,963 215,889 647,667

Collatz Trajectory (185 steps to reach 1)

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

647,667 1,943,002 971,501 2,914,504 1,457,252 728,626 364,313 1,092,940 546,470 273,235 819,706 409,853 1,229,560 614,780 307,390 153,695 461,086 230,543 691,630 345,815 1,037,446 518,723 1,556,170 778,085 2,334,256 1,167,128 583,564 291,782 145,891 437,674 218,837 656,512 328,256 164,128 82,064 41,032 20,516 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685

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