548,233

7 × 17² × 271

548,233 factors as 7 × 17^2 × 271. Its 12 positive divisors give a proper-divisor sum of 119,799, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 7 × 17^2 × 271

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 668,032

Proper Divisor Sum 119,799

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #548227 ← → #548239

Radix Representation

Decimal	548233
Binary	10000101110110001001 (20 bits)
Octal	0o2056611
Hexadecimal	0x85D89

Divisor Catalog (12)

1 7 17 119 271 289 1,897 2,023 4,607 32,249 78,319 548,233

Collatz Trajectory (89 steps to reach 1)

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

548,233 1,644,700 822,350 411,175 1,233,526 616,763 1,850,290 925,145 2,775,436 1,387,718 693,859 2,081,578 1,040,789 3,122,368 1,561,184 780,592 390,296 195,148 97,574 48,787 146,362 73,181 219,544 109,772 54,886 27,443 82,330 41,165 123,496 61,748 30,874 15,437 46,312 23,156 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482

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