353,771

11 × 29 × 1109

353,771 factors as 11 × 29 × 1109. Its 8 positive divisors give a proper-divisor sum of 45,829, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 11 × 29 × 1109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 399,600

Proper Divisor Sum 45,829

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #353767 ← → #353777

Radix Representation

Decimal	353771
Binary	1010110010111101011 (19 bits)
Octal	0o1262753
Hexadecimal	0x565EB

Divisor Catalog (8)

1 11 29 319 1,109 12,199 32,161 353,771

Collatz Trajectory (210 steps to reach 1)

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

353,771 1,061,314 530,657 1,591,972 795,986 397,993 1,193,980 596,990 298,495 895,486 447,743 1,343,230 671,615 2,014,846 1,007,423 3,022,270 1,511,135 4,533,406 2,266,703 6,800,110 3,400,055 10,200,166 5,100,083 15,300,250 7,650,125 22,950,376 11,475,188 5,737,594 2,868,797 8,606,392 4,303,196 2,151,598 1,075,799 3,227,398 1,613,699 4,841,098 2,420,549 7,261,648 3,630,824 1,815,412 907,706 453,853 1,361,560 680,780 340,390 170,195 510,586 255,293 765,880 382,940 191,470 95,735 287,206 143,603 430,810 215,405 646,216 323,108 161,554 80,777

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