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Atlas › Integer Profiles › Node 9,853,767

9,853,767

32 × 7 × 11 × 59 × 241
Deficient Odd Composite

9,853,767 factors as 3^2 × 7 × 11 × 59 × 241. Its 48 positive divisors give a proper-divisor sum of 8,267,193, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 59 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,120,960
Proper Divisor Sum 8,267,193
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9853763 ← → #9853769

Radix Representation

Decimal 9853767
Binary 100101100101101101000111 (24 bits)
Octal 0o45455507
Hexadecimal 0x965B47

Divisor Catalog (48)

1 3 7 9 11 21 33 59 63 77 99 177 231 241 413 531 649 693 723 1,239 1,687 1,947 2,169 2,651 3,717 4,543 5,061 5,841 7,953 13,629 14,219 15,183 18,557 23,859 40,887 42,657 55,671 99,533 127,971 156,409 167,013 298,599 469,227 895,797 1,094,863 1,407,681 3,284,589 9,853,767

Collatz Trajectory (163 steps to reach 1)

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

9,853,767 29,561,302 14,780,651 44,341,954 22,170,977 66,512,932 33,256,466 16,628,233 49,884,700 24,942,350 12,471,175 37,413,526 18,706,763 56,120,290 28,060,145 84,180,436 42,090,218 21,045,109 63,135,328 31,567,664 15,783,832 7,891,916 3,945,958 1,972,979 5,918,938 2,959,469 8,878,408 4,439,204 2,219,602 1,109,801 3,329,404 1,664,702 832,351 2,497,054 1,248,527 3,745,582 1,872,791 5,618,374 2,809,187 8,427,562 4,213,781 12,641,344 6,320,672 3,160,336 1,580,168 790,084 395,042 197,521 592,564 296,282 148,141 444,424 222,212 111,106 55,553 166,660 83,330 41,665 124,996 62,498

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