λ
Integer Codex

128,529

32 × 14281
Deficient Odd Composite

For 128,529, the 6 positive divisors have a total of 185,666. Removing 128,529 leaves 57,137, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 14281
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 185,666
Proper Divisor Sum 57,137
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #128521 ← → #128549

Radix Representation

Decimal 128529
Binary 11111011000010001 (17 bits)
Octal 0o373021
Hexadecimal 0x1F611

Divisor Catalog (6)

1 3 9 14,281 42,843 128,529

Collatz Trajectory (48 steps to reach 1)

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

128,529 385,588 192,794 96,397 289,192 144,596 72,298 36,149 108,448 54,224 27,112 13,556 6,778 3,389 10,168 5,084 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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