375,193

7² × 13 × 19 × 31

375,193 factors as 7^2 × 13 × 19 × 31. Its 24 positive divisors give a proper-divisor sum of 135,527, so this integer is deficient. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 7^2 × 13 × 19 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 510,720

Proper Divisor Sum 135,527

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #375169 ← → #375203

Radix Representation

Decimal	375193
Binary	1011011100110011001 (19 bits)
Octal	0o1334631
Hexadecimal	0x5B999

Divisor Catalog (24)

1 7 13 19 31 49 91 133 217 247 403 589 637 931 1,519 1,729 2,821 4,123 7,657 12,103 19,747 28,861 53,599 375,193

Collatz Trajectory (86 steps to reach 1)

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

375,193 1,125,580 562,790 281,395 844,186 422,093 1,266,280 633,140 316,570 158,285 474,856 237,428 118,714 59,357 178,072 89,036 44,518 22,259 66,778 33,389 100,168 50,084 25,042 12,521 37,564 18,782 9,391 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397

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