337,750

2 × 5³ × 7 × 193

337,750 factors as 2 × 5^3 × 7 × 193. Its 32 positive divisors give a proper-divisor sum of 388,586, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 7 × 193

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 726,336

Proper Divisor Sum 388,586

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #337741 ← → #337751

Radix Representation

Decimal	337750
Binary	1010010011101010110 (19 bits)
Octal	0o1223526
Hexadecimal	0x52756

Divisor Catalog (32)

1 2 5 7 10 14 25 35 50 70 125 175 193 250 350 386 875 965 1,351 1,750 1,930 2,702 4,825 6,755 9,650 13,510 24,125 33,775 48,250 67,550 168,875 337,750

Collatz Trajectory (83 steps to reach 1)

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

337,750 168,875 506,626 253,313 759,940 379,970 189,985 569,956 284,978 142,489 427,468 213,734 106,867 320,602 160,301 480,904 240,452 120,226 60,113 180,340 90,170 45,085 135,256 67,628 33,814 16,907 50,722 25,361 76,084 38,042 19,021 57,064 28,532 14,266 7,133 21,400 10,700 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146

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