3,042,424

2³ × 7 × 11² × 449

3,042,424 is even and not a perfect square. Its factorization is 2^3 × 7 × 11^2 × 449 and its 48 divisors sum to 7,182,000.

Prime Factor Structure

Factorization String 2^3 × 7 × 11^2 × 449

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,182,000

Proper Divisor Sum 4,139,576

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3042407 ← → #3042437

Radix Representation

Decimal	3042424
Binary	1011100110110001111000 (22 bits)
Octal	0o13466170
Hexadecimal	0x2E6C78

Divisor Catalog (48)

1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 449 484 616 847 898 968 1,694 1,796 3,143 3,388 3,592 4,939 6,286 6,776 9,878 12,572 19,756 25,144 34,573 39,512 54,329 69,146 108,658 138,292 217,316 276,584 380,303 434,632 760,606 1,521,212 3,042,424

Collatz Trajectory (107 steps to reach 1)

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

3,042,424 1,521,212 760,606 380,303 1,140,910 570,455 1,711,366 855,683 2,567,050 1,283,525 3,850,576 1,925,288 962,644 481,322 240,661 721,984 360,992 180,496 90,248 45,124 22,562 11,281 33,844 16,922 8,461 25,384 12,692 6,346 3,173 9,520 4,760 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238

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