352,575

3² × 5² × 1567

352,575 factors as 3^2 × 5^2 × 1567. Its 18 positive divisors give a proper-divisor sum of 279,329, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 1567

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 631,904

Proper Divisor Sum 279,329

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #352549 ← → #352579

Radix Representation

Decimal	352575
Binary	1010110000100111111 (19 bits)
Octal	0o1260477
Hexadecimal	0x5613F

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 1,567 4,701 7,835 14,103 23,505 39,175 70,515 117,525 352,575

Collatz Trajectory (179 steps to reach 1)

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

352,575 1,057,726 528,863 1,586,590 793,295 2,379,886 1,189,943 3,569,830 1,784,915 5,354,746 2,677,373 8,032,120 4,016,060 2,008,030 1,004,015 3,012,046 1,506,023 4,518,070 2,259,035 6,777,106 3,388,553 10,165,660 5,082,830 2,541,415 7,624,246 3,812,123 11,436,370 5,718,185 17,154,556 8,577,278 4,288,639 12,865,918 6,432,959 19,298,878 9,649,439 28,948,318 14,474,159 43,422,478 21,711,239 65,133,718 32,566,859 97,700,578 48,850,289 146,550,868 73,275,434 36,637,717 109,913,152 54,956,576 27,478,288 13,739,144 6,869,572 3,434,786 1,717,393 5,152,180 2,576,090 1,288,045 3,864,136 1,932,068 966,034 483,017

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