λ
Modular Archive

2,441,784

23 × 3 × 101741
Abundant Even Composite

The decimal integer 2,441,784 is 1001010100001000111000 in binary (22 bits), 11241070 in octal and 254238 in hexadecimal. Its digit sum is 30.

Prime Factor Structure

Factorization String 2^3 × 3 × 101741
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,104,520
Proper Divisor Sum 3,662,736
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2441779 ← → #2441801

Radix Representation

Decimal 2441784
Binary 1001010100001000111000 (22 bits)
Octal 0o11241070
Hexadecimal 0x254238

Divisor Catalog (16)

1 2 3 4 6 8 12 24 101,741 203,482 305,223 406,964 610,446 813,928 1,220,892 2,441,784

Collatz Trajectory (267 steps to reach 1)

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

2,441,784 1,220,892 610,446 305,223 915,670 457,835 1,373,506 686,753 2,060,260 1,030,130 515,065 1,545,196 772,598 386,299 1,158,898 579,449 1,738,348 869,174 434,587 1,303,762 651,881 1,955,644 977,822 488,911 1,466,734 733,367 2,200,102 1,100,051 3,300,154 1,650,077 4,950,232 2,475,116 1,237,558 618,779 1,856,338 928,169 2,784,508 1,392,254 696,127 2,088,382 1,044,191 3,132,574 1,566,287 4,698,862 2,349,431 7,048,294 3,524,147 10,572,442 5,286,221 15,858,664 7,929,332 3,964,666 1,982,333 5,947,000 2,973,500 1,486,750 743,375 2,230,126 1,115,063 3,345,190

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