λ
Matchaa Zalai

2,704,956

22 × 3 × 431 × 523
Abundant Even Composite

2,704,956 factors as 2^2 × 3 × 431 × 523. Its 24 positive divisors give a proper-divisor sum of 3,633,348, so this integer is abundant. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 431 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,338,304
Proper Divisor Sum 3,633,348
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2704943 ← → #2704957

Radix Representation

Decimal 2704956
Binary 1010010100011000111100 (22 bits)
Octal 0o12243074
Hexadecimal 0x29463C

Divisor Catalog (24)

1 2 3 4 6 12 431 523 862 1,046 1,293 1,569 1,724 2,092 2,586 3,138 5,172 6,276 225,413 450,826 676,239 901,652 1,352,478 2,704,956

Collatz Trajectory (231 steps to reach 1)

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

2,704,956 1,352,478 676,239 2,028,718 1,014,359 3,043,078 1,521,539 4,564,618 2,282,309 6,846,928 3,423,464 1,711,732 855,866 427,933 1,283,800 641,900 320,950 160,475 481,426 240,713 722,140 361,070 180,535 541,606 270,803 812,410 406,205 1,218,616 609,308 304,654 152,327 456,982 228,491 685,474 342,737 1,028,212 514,106 257,053 771,160 385,580 192,790 96,395 289,186 144,593 433,780 216,890 108,445 325,336 162,668 81,334 40,667 122,002 61,001 183,004 91,502 45,751 137,254 68,627 205,882 102,941

More profiles

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