429,641

17 × 127 × 199

429,641 factors as 17 × 127 × 199. Its 8 positive divisors give a proper-divisor sum of 31,159, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 17 × 127 × 199

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 460,800

Proper Divisor Sum 31,159

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #429631 ← → #429643

Radix Representation

Decimal	429641
Binary	1101000111001001001 (19 bits)
Octal	0o1507111
Hexadecimal	0x68E49

Divisor Catalog (8)

1 17 127 199 2,159 3,383 25,273 429,641

Collatz Trajectory (99 steps to reach 1)

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

429,641 1,288,924 644,462 322,231 966,694 483,347 1,450,042 725,021 2,175,064 1,087,532 543,766 271,883 815,650 407,825 1,223,476 611,738 305,869 917,608 458,804 229,402 114,701 344,104 172,052 86,026 43,013 129,040 64,520 32,260 16,130 8,065 24,196 12,098 6,049 18,148 9,074 4,537 13,612 6,806 3,403 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734

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