528,839

23 × 22993

Starting at 528,839, the Collatz iteration reaches 1 after 208 steps. The first transition is 1586518; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 23 × 22993

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 551,856

Proper Divisor Sum 23,017

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #528833 ← → #528863

Radix Representation

Decimal	528839
Binary	10000001000111000111 (20 bits)
Octal	0o2010707
Hexadecimal	0x811C7

Divisor Catalog (4)

1 23 22,993 528,839

Collatz Trajectory (208 steps to reach 1)

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

528,839 1,586,518 793,259 2,379,778 1,189,889 3,569,668 1,784,834 892,417 2,677,252 1,338,626 669,313 2,007,940 1,003,970 501,985 1,505,956 752,978 376,489 1,129,468 564,734 282,367 847,102 423,551 1,270,654 635,327 1,905,982 952,991 2,858,974 1,429,487 4,288,462 2,144,231 6,432,694 3,216,347 9,649,042 4,824,521 14,473,564 7,236,782 3,618,391 10,855,174 5,427,587 16,282,762 8,141,381 24,424,144 12,212,072 6,106,036 3,053,018 1,526,509 4,579,528 2,289,764 1,144,882 572,441 1,717,324 858,662 429,331 1,287,994 643,997 1,931,992 965,996 482,998 241,499 724,498

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