6,004,626

2 × 3 × 47 × 107 × 199

For 6,004,626, the 32 positive divisors have a total of 12,441,600. Removing 6,004,626 leaves 6,436,974, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 47 × 107 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,441,600

Proper Divisor Sum 6,436,974

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6004601 ← → #6004631

Radix Representation

Decimal	6004626
Binary	10110111001111110010010 (23 bits)
Octal	0o26717622
Hexadecimal	0x5B9F92

Divisor Catalog (32)

1 2 3 6 47 94 107 141 199 214 282 321 398 597 642 1,194 5,029 9,353 10,058 15,087 18,706 21,293 28,059 30,174 42,586 56,118 63,879 127,758 1,000,771 2,001,542 3,002,313 6,004,626

Collatz Trajectory (95 steps to reach 1)

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

6,004,626 3,002,313 9,006,940 4,503,470 2,251,735 6,755,206 3,377,603 10,132,810 5,066,405 15,199,216 7,599,608 3,799,804 1,899,902 949,951 2,849,854 1,424,927 4,274,782 2,137,391 6,412,174 3,206,087 9,618,262 4,809,131 14,427,394 7,213,697 21,641,092 10,820,546 5,410,273 16,230,820 8,115,410 4,057,705 12,173,116 6,086,558 3,043,279 9,129,838 4,564,919 13,694,758 6,847,379 20,542,138 10,271,069 30,813,208 15,406,604 7,703,302 3,851,651 11,554,954 5,777,477 17,332,432 8,666,216 4,333,108 2,166,554 1,083,277 3,249,832 1,624,916 812,458 406,229 1,218,688 609,344 304,672 152,336 76,168 38,084

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