378,909

3² × 42101

378,909 factors as 3^2 × 42101. Its 6 positive divisors give a proper-divisor sum of 168,417, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 3^2 × 42101

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 547,326

Proper Divisor Sum 168,417

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #378901 ← → #378919

Radix Representation

Decimal	378909
Binary	1011100100000011101 (19 bits)
Octal	0o1344035
Hexadecimal	0x5C81D

Divisor Catalog (6)

1 3 9 42,101 126,303 378,909

Collatz Trajectory (215 steps to reach 1)

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

378,909 1,136,728 568,364 284,182 142,091 426,274 213,137 639,412 319,706 159,853 479,560 239,780 119,890 59,945 179,836 89,918 44,959 134,878 67,439 202,318 101,159 303,478 151,739 455,218 227,609 682,828 341,414 170,707 512,122 256,061 768,184 384,092 192,046 96,023 288,070 144,035 432,106 216,053 648,160 324,080 162,040 81,020 40,510 20,255 60,766 30,383 91,150 45,575 136,726 68,363 205,090 102,545 307,636 153,818 76,909 230,728 115,364 57,682 28,841 86,524

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