55,635

3 × 5 × 3709

55,635 factors as 3 × 5 × 3709. Its 8 positive divisors give a proper-divisor sum of 33,405, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 3 × 5 × 3709

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 89,040

Proper Divisor Sum 33,405

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #55633 ← → #55639

Radix Representation

Decimal	55635
Binary	1101100101010011 (16 bits)
Octal	0o154523
Hexadecimal	0xD953

Divisor Catalog (8)

1 3 5 15 3,709 11,127 18,545 55,635

Collatz Trajectory (91 steps to reach 1)

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

55,635 166,906 83,453 250,360 125,180 62,590 31,295 93,886 46,943 140,830 70,415 211,246 105,623 316,870 158,435 475,306 237,653 712,960 356,480 178,240 89,120 44,560 22,280 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59

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