λ
Prime Ledger

2,242,446

2 × 3 × 97 × 3853
Abundant Even Composite

2,242,446 has the prime decomposition 2 × 3 × 97 × 3853. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 97 × 3853
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,532,304
Proper Divisor Sum 2,289,858
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2242441 ← → #2242469

Radix Representation

Decimal 2242446
Binary 1000100011011110001110 (22 bits)
Octal 0o10433616
Hexadecimal 0x22378E

Divisor Catalog (16)

1 2 3 6 97 194 291 582 3,853 7,706 11,559 23,118 373,741 747,482 1,121,223 2,242,446

Collatz Trajectory (135 steps to reach 1)

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

2,242,446 1,121,223 3,363,670 1,681,835 5,045,506 2,522,753 7,568,260 3,784,130 1,892,065 5,676,196 2,838,098 1,419,049 4,257,148 2,128,574 1,064,287 3,192,862 1,596,431 4,789,294 2,394,647 7,183,942 3,591,971 10,775,914 5,387,957 16,163,872 8,081,936 4,040,968 2,020,484 1,010,242 505,121 1,515,364 757,682 378,841 1,136,524 568,262 284,131 852,394 426,197 1,278,592 639,296 319,648 159,824 79,912 39,956 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374

More profiles

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