4,282,875

3⁶ × 5³ × 47

4,282,875 factors as 3^6 × 5^3 × 47. Its 56 positive divisors give a proper-divisor sum of 3,901,509, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3^6 × 5^3 × 47

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 8,184,384

Proper Divisor Sum 3,901,509

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4282849 ← → #4282879

Radix Representation

Decimal	4282875
Binary	10000010101100111111011 (23 bits)
Octal	0o20254773
Hexadecimal	0x4159FB

Divisor Catalog (56)

1 3 5 9 15 25 27 45 47 75 81 125 135 141 225 235 243 375 405 423 675 705 729 1,125 1,175 1,215 1,269 2,025 2,115 3,375 3,525 3,645 3,807 5,875 6,075 6,345 10,125 10,575 11,421 17,625 18,225 19,035 30,375 31,725 34,263 52,875 57,105 91,125 95,175 158,625 171,315 285,525 475,875 856,575 1,427,625 4,282,875

Collatz Trajectory (167 steps to reach 1)

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

4,282,875 12,848,626 6,424,313 19,272,940 9,636,470 4,818,235 14,454,706 7,227,353 21,682,060 10,841,030 5,420,515 16,261,546 8,130,773 24,392,320 12,196,160 6,098,080 3,049,040 1,524,520 762,260 381,130 190,565 571,696 285,848 142,924 71,462 35,731 107,194 53,597 160,792 80,396 40,198 20,099 60,298 30,149 90,448 45,224 22,612 11,306 5,653 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760

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