282,528

2⁵ × 3⁴ × 109

Starting at 282,528, the Collatz iteration reaches 1 after 176 steps. The first transition is 141264; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^4 × 109

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 838,530

Proper Divisor Sum 556,002

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #282493 ← → #282559

Radix Representation

Decimal	282528
Binary	1000100111110100000 (19 bits)
Octal	0o1047640
Hexadecimal	0x44FA0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 109 144 162 216 218 288 324 327 432 436 648 654 864 872 981 1,296 1,308 1,744 1,962 2,592 2,616 2,943 3,488 3,924 5,232 5,886 7,848 8,829 10,464 11,772 15,696 17,658 23,544 31,392 35,316 47,088 70,632 94,176 141,264 282,528

Collatz Trajectory (176 steps to reach 1)

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

282,528 141,264 70,632 35,316 17,658 8,829 26,488 13,244 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299

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