λ
Harmonic Matrix

3,057,396

22 × 3 × 254783
Abundant Even Composite

3,057,396 has digital root 6. The neighboring primes are 3057377 and 3057403; its proper-divisor sum differs from the starting integer by 1,019,160.

Prime Factor Structure

Factorization String 2^2 × 3 × 254783
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,133,952
Proper Divisor Sum 4,076,556
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3057377 ← → #3057403

Radix Representation

Decimal 3057396
Binary 1011101010011011110100 (22 bits)
Octal 0o13523364
Hexadecimal 0x2EA6F4

Divisor Catalog (12)

1 2 3 4 6 12 254,783 509,566 764,349 1,019,132 1,528,698 3,057,396

Collatz Trajectory (195 steps to reach 1)

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

3,057,396 1,528,698 764,349 2,293,048 1,146,524 573,262 286,631 859,894 429,947 1,289,842 644,921 1,934,764 967,382 483,691 1,451,074 725,537 2,176,612 1,088,306 544,153 1,632,460 816,230 408,115 1,224,346 612,173 1,836,520 918,260 459,130 229,565 688,696 344,348 172,174 86,087 258,262 129,131 387,394 193,697 581,092 290,546 145,273 435,820 217,910 108,955 326,866 163,433 490,300 245,150 122,575 367,726 183,863 551,590 275,795 827,386 413,693 1,241,080 620,540 310,270 155,135 465,406 232,703 698,110

More profiles

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