429,585

3 × 5 × 13 × 2203

429,585 factors as 3 × 5 × 13 × 2203. Its 16 positive divisors give a proper-divisor sum of 310,959, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 2203

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 740,544

Proper Divisor Sum 310,959

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #429581 ← → #429587

Radix Representation

Decimal	429585
Binary	1101000111000010001 (19 bits)
Octal	0o1507021
Hexadecimal	0x68E11

Divisor Catalog (16)

1 3 5 13 15 39 65 195 2,203 6,609 11,015 28,639 33,045 85,917 143,195 429,585

Collatz Trajectory (99 steps to reach 1)

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

429,585 1,288,756 644,378 322,189 966,568 483,284 241,642 120,821 362,464 181,232 90,616 45,308 22,654 11,327 33,982 16,991 50,974 25,487 76,462 38,231 114,694 57,347 172,042 86,021 258,064 129,032 64,516 32,258 16,129 48,388 24,194 12,097 36,292 18,146 9,073 27,220 13,610 6,805 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734

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