λ
Modular Archive

4,471,446

2 × 3 × 72 × 67 × 227
Abundant Even Composite

The decimal integer 4,471,446 is 10001000011101010010110 in binary (23 bits), 21035226 in octal and 443A96 in hexadecimal. Its digit sum is 30.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 67 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,604,736
Proper Divisor Sum 6,133,290
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4471427 ← → #4471477

Radix Representation

Decimal 4471446
Binary 10001000011101010010110 (23 bits)
Octal 0o21035226
Hexadecimal 0x443A96

Divisor Catalog (48)

1 2 3 6 7 14 21 42 49 67 98 134 147 201 227 294 402 454 469 681 938 1,362 1,407 1,589 2,814 3,178 3,283 4,767 6,566 9,534 9,849 11,123 15,209 19,698 22,246 30,418 33,369 45,627 66,738 91,254 106,463 212,926 319,389 638,778 745,241 1,490,482 2,235,723 4,471,446

Collatz Trajectory (136 steps to reach 1)

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

4,471,446 2,235,723 6,707,170 3,353,585 10,060,756 5,030,378 2,515,189 7,545,568 3,772,784 1,886,392 943,196 471,598 235,799 707,398 353,699 1,061,098 530,549 1,591,648 795,824 397,912 198,956 99,478 49,739 149,218 74,609 223,828 111,914 55,957 167,872 83,936 41,968 20,984 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790

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