λ
Zalai Atlas

6,673,626

2 × 32 × 499 × 743
Abundant Even Composite

6,673,626 has the prime decomposition 2 × 3^2 × 499 × 743. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 499 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,508,000
Proper Divisor Sum 7,834,374
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6673613 ← → #6673627

Radix Representation

Decimal 6673626
Binary 11001011101010011011010 (23 bits)
Octal 0o31352332
Hexadecimal 0x65D4DA

Divisor Catalog (24)

1 2 3 6 9 18 499 743 998 1,486 1,497 2,229 2,994 4,458 4,491 6,687 8,982 13,374 370,757 741,514 1,112,271 2,224,542 3,336,813 6,673,626

Collatz Trajectory (284 steps to reach 1)

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

6,673,626 3,336,813 10,010,440 5,005,220 2,502,610 1,251,305 3,753,916 1,876,958 938,479 2,815,438 1,407,719 4,223,158 2,111,579 6,334,738 3,167,369 9,502,108 4,751,054 2,375,527 7,126,582 3,563,291 10,689,874 5,344,937 16,034,812 8,017,406 4,008,703 12,026,110 6,013,055 18,039,166 9,019,583 27,058,750 13,529,375 40,588,126 20,294,063 60,882,190 30,441,095 91,323,286 45,661,643 136,984,930 68,492,465 205,477,396 102,738,698 51,369,349 154,108,048 77,054,024 38,527,012 19,263,506 9,631,753 28,895,260 14,447,630 7,223,815 21,671,446 10,835,723 32,507,170 16,253,585 48,760,756 24,380,378 12,190,189 36,570,568 18,285,284 9,142,642

More profiles

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