429,741

3² × 13 × 3673

429,741 factors as 3^2 × 13 × 3673. Its 12 positive divisors give a proper-divisor sum of 238,927, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 3673

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 668,668

Proper Divisor Sum 238,927

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #429733 ← → #429773

Radix Representation

Decimal	429741
Binary	1101000111010101101 (19 bits)
Octal	0o1507255
Hexadecimal	0x68EAD

Divisor Catalog (12)

1 3 9 13 39 117 3,673 11,019 33,057 47,749 143,247 429,741

Collatz Trajectory (99 steps to reach 1)

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

429,741 1,289,224 644,612 322,306 161,153 483,460 241,730 120,865 362,596 181,298 90,649 271,948 135,974 67,987 203,962 101,981 305,944 152,972 76,486 38,243 114,730 57,365 172,096 86,048 43,024 21,512 10,756 5,378 2,689 8,068 4,034 2,017 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455

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