528,065

5 × 105613

528,065 factors as 5 × 105613. Its 4 positive divisors give a proper-divisor sum of 105,619, so this integer is deficient. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 5 × 105613

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 633,684

Proper Divisor Sum 105,619

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #528053 ← → #528091

Radix Representation

Decimal	528065
Binary	10000000111011000001 (20 bits)
Octal	0o2007301
Hexadecimal	0x80EC1

Divisor Catalog (4)

1 5 105,613 528,065

Collatz Trajectory (76 steps to reach 1)

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

528,065 1,584,196 792,098 396,049 1,188,148 594,074 297,037 891,112 445,556 222,778 111,389 334,168 167,084 83,542 41,771 125,314 62,657 187,972 93,986 46,993 140,980 70,490 35,245 105,736 52,868 26,434 13,217 39,652 19,826 9,913 29,740 14,870 7,435 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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