48,200,565

3 × 5 × 7² × 65579

48,200,565 factors as 3 × 5 × 7^2 × 65579. Its 24 positive divisors give a proper-divisor sum of 41,512,875, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 65579

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 89,713,440

Proper Divisor Sum 41,512,875

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #48200557 ← → #48200597

Radix Representation

Decimal	48200565
Binary	10110111110111101101110101 (26 bits)
Octal	0o267675565
Hexadecimal	0x2DF7B75

Divisor Catalog (24)

Collatz Trajectory (230 steps to reach 1)

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

48,200,565 144,601,696 72,300,848 36,150,424 18,075,212 9,037,606 4,518,803 13,556,410 6,778,205 20,334,616 10,167,308 5,083,654 2,541,827 7,625,482 3,812,741 11,438,224 5,719,112 2,859,556 1,429,778 714,889 2,144,668 1,072,334 536,167 1,608,502 804,251 2,412,754 1,206,377 3,619,132 1,809,566 904,783 2,714,350 1,357,175 4,071,526 2,035,763 6,107,290 3,053,645 9,160,936 4,580,468 2,290,234 1,145,117 3,435,352 1,717,676 858,838 429,419 1,288,258 644,129 1,932,388 966,194 483,097 1,449,292 724,646 362,323 1,086,970 543,485 1,630,456 815,228 407,614 203,807 611,422 305,711

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