628,622

2 × 257 × 1223

For 628,622, the 8 positive divisors have a total of 947,376. Removing 628,622 leaves 318,754, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 257 × 1223

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 947,376

Proper Divisor Sum 318,754

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #628591 ← → #628651

Radix Representation

Decimal	628622
Binary	10011001011110001110 (20 bits)
Octal	0o2313616
Hexadecimal	0x9978E

Divisor Catalog (8)

1 2 257 514 1,223 2,446 314,311 628,622

Collatz Trajectory (110 steps to reach 1)

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

628,622 314,311 942,934 471,467 1,414,402 707,201 2,121,604 1,060,802 530,401 1,591,204 795,602 397,801 1,193,404 596,702 298,351 895,054 447,527 1,342,582 671,291 2,013,874 1,006,937 3,020,812 1,510,406 755,203 2,265,610 1,132,805 3,398,416 1,699,208 849,604 424,802 212,401 637,204 318,602 159,301 477,904 238,952 119,476 59,738 29,869 89,608 44,804 22,402 11,201 33,604 16,802 8,401 25,204 12,602 6,301 18,904 9,452 4,726 2,363 7,090 3,545 10,636 5,318 2,659 7,978 3,989

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