384,137

13² × 2273

384,137 factors as 13^2 × 2273. Its 6 positive divisors give a proper-divisor sum of 32,005, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 13^2 × 2273

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 416,142

Proper Divisor Sum 32,005

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #384133 ← → #384143

Radix Representation

Decimal	384137
Binary	1011101110010001001 (19 bits)
Octal	0o1356211
Hexadecimal	0x5DC89

Divisor Catalog (6)

1 13 169 2,273 29,549 384,137

Collatz Trajectory (184 steps to reach 1)

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

384,137 1,152,412 576,206 288,103 864,310 432,155 1,296,466 648,233 1,944,700 972,350 486,175 1,458,526 729,263 2,187,790 1,093,895 3,281,686 1,640,843 4,922,530 2,461,265 7,383,796 3,691,898 1,845,949 5,537,848 2,768,924 1,384,462 692,231 2,076,694 1,038,347 3,115,042 1,557,521 4,672,564 2,336,282 1,168,141 3,504,424 1,752,212 876,106 438,053 1,314,160 657,080 328,540 164,270 82,135 246,406 123,203 369,610 184,805 554,416 277,208 138,604 69,302 34,651 103,954 51,977 155,932 77,966 38,983 116,950 58,475 175,426 87,713

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