430,442

2 × 373 × 577

For 430,442, the 8 positive divisors have a total of 648,516. Removing 430,442 leaves 218,074, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 373 × 577

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 648,516

Proper Divisor Sum 218,074

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #430433 ← → #430453

Radix Representation

Decimal	430442
Binary	1101001000101101010 (19 bits)
Octal	0o1510552
Hexadecimal	0x6916A

Divisor Catalog (8)

1 2 373 577 746 1,154 215,221 430,442

Collatz Trajectory (143 steps to reach 1)

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

430,442 215,221 645,664 322,832 161,416 80,708 40,354 20,177 60,532 30,266 15,133 45,400 22,700 11,350 5,675 17,026 8,513 25,540 12,770 6,385 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466

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