9,727,165

5 × 7 × 277919

9,727,165 factors as 5 × 7 × 277919. Its 8 positive divisors give a proper-divisor sum of 3,612,995, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 5 × 7 × 277919

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,340,160

Proper Divisor Sum 3,612,995

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9727163 ← → #9727169

Radix Representation

Decimal	9727165
Binary	100101000110110010111101 (24 bits)
Octal	0o45066275
Hexadecimal	0x946CBD

Divisor Catalog (8)

1 5 7 35 277,919 1,389,595 1,945,433 9,727,165

Collatz Trajectory (194 steps to reach 1)

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

9,727,165 29,181,496 14,590,748 7,295,374 3,647,687 10,943,062 5,471,531 16,414,594 8,207,297 24,621,892 12,310,946 6,155,473 18,466,420 9,233,210 4,616,605 13,849,816 6,924,908 3,462,454 1,731,227 5,193,682 2,596,841 7,790,524 3,895,262 1,947,631 5,842,894 2,921,447 8,764,342 4,382,171 13,146,514 6,573,257 19,719,772 9,859,886 4,929,943 14,789,830 7,394,915 22,184,746 11,092,373 33,277,120 16,638,560 8,319,280 4,159,640 2,079,820 1,039,910 519,955 1,559,866 779,933 2,339,800 1,169,900 584,950 292,475 877,426 438,713 1,316,140 658,070 329,035 987,106 493,553 1,480,660 740,330 370,165

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