338,750

2 × 5⁴ × 271

338,750 factors as 2 × 5^4 × 271. Its 20 positive divisors give a proper-divisor sum of 298,546, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2 × 5^4 × 271

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 637,296

Proper Divisor Sum 298,546

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #338747 ← → #338753

Radix Representation

Decimal	338750
Binary	1010010101100111110 (19 bits)
Octal	0o1225476
Hexadecimal	0x52B3E

Divisor Catalog (20)

1 2 5 10 25 50 125 250 271 542 625 1,250 1,355 2,710 6,775 13,550 33,875 67,750 169,375 338,750

Collatz Trajectory (184 steps to reach 1)

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

338,750 169,375 508,126 254,063 762,190 381,095 1,143,286 571,643 1,714,930 857,465 2,572,396 1,286,198 643,099 1,929,298 964,649 2,893,948 1,446,974 723,487 2,170,462 1,085,231 3,255,694 1,627,847 4,883,542 2,441,771 7,325,314 3,662,657 10,987,972 5,493,986 2,746,993 8,240,980 4,120,490 2,060,245 6,180,736 3,090,368 1,545,184 772,592 386,296 193,148 96,574 48,287 144,862 72,431 217,294 108,647 325,942 162,971 488,914 244,457 733,372 366,686 183,343 550,030 275,015 825,046 412,523 1,237,570 618,785 1,856,356 928,178 464,089

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