535,328

2⁵ × 16729

Starting at 535,328, the Collatz iteration reaches 1 after 71 steps. The first transition is 267664; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 16729

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,053,990

Proper Divisor Sum 518,662

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #535319 ← → #535333

Radix Representation

Decimal	535328
Binary	10000010101100100000 (20 bits)
Octal	0o2025440
Hexadecimal	0x82B20

Divisor Catalog (12)

1 2 4 8 16 32 16,729 33,458 66,916 133,832 267,664 535,328

Collatz Trajectory (71 steps to reach 1)

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

535,328 267,664 133,832 66,916 33,458 16,729 50,188 25,094 12,547 37,642 18,821 56,464 28,232 14,116 7,058 3,529 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17

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