434,875

5³ × 7² × 71

434,875 factors as 5^3 × 7^2 × 71. Its 24 positive divisors give a proper-divisor sum of 205,349, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 5^3 × 7^2 × 71

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 640,224

Proper Divisor Sum 205,349

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #434873 ← → #434881

Radix Representation

Decimal	434875
Binary	1101010001010111011 (19 bits)
Octal	0o1521273
Hexadecimal	0x6A2BB

Divisor Catalog (24)

1 5 7 25 35 49 71 125 175 245 355 497 875 1,225 1,775 2,485 3,479 6,125 8,875 12,425 17,395 62,125 86,975 434,875

Collatz Trajectory (94 steps to reach 1)

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

434,875 1,304,626 652,313 1,956,940 978,470 489,235 1,467,706 733,853 2,201,560 1,100,780 550,390 275,195 825,586 412,793 1,238,380 619,190 309,595 928,786 464,393 1,393,180 696,590 348,295 1,044,886 522,443 1,567,330 783,665 2,350,996 1,175,498 587,749 1,763,248 881,624 440,812 220,406 110,203 330,610 165,305 495,916 247,958 123,979 371,938 185,969 557,908 278,954 139,477 418,432 209,216 104,608 52,304 26,152 13,076 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460

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