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847,535

5 × 132 × 17 × 59
Deficient Odd Composite

847,535 factors as 5 × 13^2 × 17 × 59. Its 24 positive divisors give a proper-divisor sum of 338,305, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 5 × 13^2 × 17 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,185,840
Proper Divisor Sum 338,305
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #847531 ← → #847537

Radix Representation

Decimal 847535
Binary 11001110111010101111 (20 bits)
Octal 0o3167257
Hexadecimal 0xCEEAF

Divisor Catalog (24)

1 5 13 17 59 65 85 169 221 295 767 845 1,003 1,105 2,873 3,835 5,015 9,971 13,039 14,365 49,855 65,195 169,507 847,535

Collatz Trajectory (175 steps to reach 1)

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

847,535 2,542,606 1,271,303 3,813,910 1,906,955 5,720,866 2,860,433 8,581,300 4,290,650 2,145,325 6,435,976 3,217,988 1,608,994 804,497 2,413,492 1,206,746 603,373 1,810,120 905,060 452,530 226,265 678,796 339,398 169,699 509,098 254,549 763,648 381,824 190,912 95,456 47,728 23,864 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380

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