3,050,824

2³ × 7 × 157 × 347

Starting at 3,050,824, the Collatz iteration reaches 1 after 288 steps. The first transition is 1525412; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 157 × 347

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,598,080

Proper Divisor Sum 3,547,256

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3050821 ← → #3050833

Radix Representation

Decimal	3050824
Binary	1011101000110101001000 (22 bits)
Octal	0o13506510
Hexadecimal	0x2E8D48

Divisor Catalog (32)

1 2 4 7 8 14 28 56 157 314 347 628 694 1,099 1,256 1,388 2,198 2,429 2,776 4,396 4,858 8,792 9,716 19,432 54,479 108,958 217,916 381,353 435,832 762,706 1,525,412 3,050,824

Collatz Trajectory (288 steps to reach 1)

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

3,050,824 1,525,412 762,706 381,353 1,144,060 572,030 286,015 858,046 429,023 1,287,070 643,535 1,930,606 965,303 2,895,910 1,447,955 4,343,866 2,171,933 6,515,800 3,257,900 1,628,950 814,475 2,443,426 1,221,713 3,665,140 1,832,570 916,285 2,748,856 1,374,428 687,214 343,607 1,030,822 515,411 1,546,234 773,117 2,319,352 1,159,676 579,838 289,919 869,758 434,879 1,304,638 652,319 1,956,958 978,479 2,935,438 1,467,719 4,403,158 2,201,579 6,604,738 3,302,369 9,907,108 4,953,554 2,476,777 7,430,332 3,715,166 1,857,583 5,572,750 2,786,375 8,359,126 4,179,563

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