863,379

3⁵ × 11 × 17 × 19

863,379 factors as 3^5 × 11 × 17 × 19. Its 48 positive divisors give a proper-divisor sum of 709,101, so this integer is deficient. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 3^5 × 11 × 17 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,572,480

Proper Divisor Sum 709,101

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #863377 ← → #863393

Radix Representation

Decimal	863379
Binary	11010010110010010011 (20 bits)
Octal	0o3226223
Hexadecimal	0xD2C93

Divisor Catalog (48)

1 3 9 11 17 19 27 33 51 57 81 99 153 171 187 209 243 297 323 459 513 561 627 891 969 1,377 1,539 1,683 1,881 2,673 2,907 3,553 4,131 4,617 5,049 5,643 8,721 10,659 15,147 16,929 26,163 31,977 45,441 50,787 78,489 95,931 287,793 863,379

Collatz Trajectory (219 steps to reach 1)

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

863,379 2,590,138 1,295,069 3,885,208 1,942,604 971,302 485,651 1,456,954 728,477 2,185,432 1,092,716 546,358 273,179 819,538 409,769 1,229,308 614,654 307,327 921,982 460,991 1,382,974 691,487 2,074,462 1,037,231 3,111,694 1,555,847 4,667,542 2,333,771 7,001,314 3,500,657 10,501,972 5,250,986 2,625,493 7,876,480 3,938,240 1,969,120 984,560 492,280 246,140 123,070 61,535 184,606 92,303 276,910 138,455 415,366 207,683 623,050 311,525 934,576 467,288 233,644 116,822 58,411 175,234 87,617 262,852 131,426 65,713 197,140

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