337,775

5² × 59 × 229

337,775 factors as 5^2 × 59 × 229. Its 12 positive divisors give a proper-divisor sum of 90,025, so this integer is deficient. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 5^2 × 59 × 229

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 427,800

Proper Divisor Sum 90,025

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #337759 ← → #337781

Radix Representation

Decimal	337775
Binary	1010010011101101111 (19 bits)
Octal	0o1223557
Hexadecimal	0x5276F

Divisor Catalog (12)

1 5 25 59 229 295 1,145 1,475 5,725 13,511 67,555 337,775

Collatz Trajectory (83 steps to reach 1)

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

337,775 1,013,326 506,663 1,519,990 759,995 2,279,986 1,139,993 3,419,980 1,709,990 854,995 2,564,986 1,282,493 3,847,480 1,923,740 961,870 480,935 1,442,806 721,403 2,164,210 1,082,105 3,246,316 1,623,158 811,579 2,434,738 1,217,369 3,652,108 1,826,054 913,027 2,739,082 1,369,541 4,108,624 2,054,312 1,027,156 513,578 256,789 770,368 385,184 192,592 96,296 48,148 24,074 12,037 36,112 18,056 9,028 4,514 2,257 6,772 3,386 1,693 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146

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