438,158

2 × 7² × 17 × 263

438,158 factors as 2 × 7^2 × 17 × 263. Its 24 positive divisors give a proper-divisor sum of 374,434, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 17 × 263

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 812,592

Proper Divisor Sum 374,434

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #438143 ← → #438169

Radix Representation

Decimal	438158
Binary	1101010111110001110 (19 bits)
Octal	0o1527616
Hexadecimal	0x6AF8E

Divisor Catalog (24)

1 2 7 14 17 34 49 98 119 238 263 526 833 1,666 1,841 3,682 4,471 8,942 12,887 25,774 31,297 62,594 219,079 438,158

Collatz Trajectory (174 steps to reach 1)

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

438,158 219,079 657,238 328,619 985,858 492,929 1,478,788 739,394 369,697 1,109,092 554,546 277,273 831,820 415,910 207,955 623,866 311,933 935,800 467,900 233,950 116,975 350,926 175,463 526,390 263,195 789,586 394,793 1,184,380 592,190 296,095 888,286 444,143 1,332,430 666,215 1,998,646 999,323 2,997,970 1,498,985 4,496,956 2,248,478 1,124,239 3,372,718 1,686,359 5,059,078 2,529,539 7,588,618 3,794,309 11,382,928 5,691,464 2,845,732 1,422,866 711,433 2,134,300 1,067,150 533,575 1,600,726 800,363 2,401,090 1,200,545 3,601,636

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