382,438

2 × 7 × 59 × 463

For 382,438, the 16 positive divisors have a total of 668,160. Removing 382,438 leaves 285,722, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7 × 59 × 463

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 668,160

Proper Divisor Sum 285,722

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #382429 ← → #382457

Radix Representation

Decimal	382438
Binary	1011101010111100110 (19 bits)
Octal	0o1352746
Hexadecimal	0x5D5E6

Divisor Catalog (16)

1 2 7 14 59 118 413 463 826 926 3,241 6,482 27,317 54,634 191,219 382,438

Collatz Trajectory (192 steps to reach 1)

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

382,438 191,219 573,658 286,829 860,488 430,244 215,122 107,561 322,684 161,342 80,671 242,014 121,007 363,022 181,511 544,534 272,267 816,802 408,401 1,225,204 612,602 306,301 918,904 459,452 229,726 114,863 344,590 172,295 516,886 258,443 775,330 387,665 1,162,996 581,498 290,749 872,248 436,124 218,062 109,031 327,094 163,547 490,642 245,321 735,964 367,982 183,991 551,974 275,987 827,962 413,981 1,241,944 620,972 310,486 155,243 465,730 232,865 698,596 349,298 174,649 523,948

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