528,120

2³ × 3⁴ × 5 × 163

Prime Factor Structure

Factorization String 2^3 × 3^4 × 5 × 163

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,785,960

Proper Divisor Sum 1,257,840

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #528107 ← → #528127

Radix Representation

Decimal	528120
Binary	10000000111011111000 (20 bits)
Octal	0o2007370
Hexadecimal	0x80EF8

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 163 180 216 270 324 326 360 405 489 540 648 652 810 815 978 1,080 1,304 1,467 1,620 1,630 1,956 2,445 2,934 3,240 3,260 3,912 4,401 4,890 5,868 6,520 7,335 8,802

Collatz Trajectory (76 steps to reach 1)

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

528,120 264,060 132,030 66,015 198,046 99,023 297,070 148,535 445,606 222,803 668,410 334,205 1,002,616 501,308 250,654 125,327 375,982 187,991 563,974 281,987 845,962 422,981 1,268,944 634,472 317,236 158,618 79,309 237,928 118,964 59,482 29,741 89,224 44,612 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560

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