628,531

43 × 47 × 311

For 628,531, the 8 positive divisors have a total of 658,944. Removing 628,531 leaves 30,413, which gives the deficient classification.

Prime Factor Structure

Factorization String 43 × 47 × 311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 658,944

Proper Divisor Sum 30,413

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #628499 ← → #628547

Radix Representation

Decimal	628531
Binary	10011001011100110011 (20 bits)
Octal	0o2313463
Hexadecimal	0x99733

Divisor Catalog (8)

1 43 47 311 2,021 13,373 14,617 628,531

Collatz Trajectory (115 steps to reach 1)

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

628,531 1,885,594 942,797 2,828,392 1,414,196 707,098 353,549 1,060,648 530,324 265,162 132,581 397,744 198,872 99,436 49,718 24,859 74,578 37,289 111,868 55,934 27,967 83,902 41,951 125,854 62,927 188,782 94,391 283,174 141,587 424,762 212,381 637,144 318,572 159,286 79,643 238,930 119,465 358,396 179,198 89,599 268,798 134,399 403,198 201,599 604,798 302,399 907,198 453,599 1,360,798 680,399 2,041,198 1,020,599 3,061,798 1,530,899 4,592,698 2,296,349 6,889,048 3,444,524 1,722,262 861,131

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