9,815,449

7 × 61 × 127 × 181

Starting at 9,815,449, the Collatz iteration reaches 1 after 207 steps. The first transition is 29446348; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 61 × 127 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,554,816

Proper Divisor Sum 1,739,367

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9815447 ← → #9815459

Radix Representation

Decimal	9815449
Binary	100101011100010110011001 (24 bits)
Octal	0o45342631
Hexadecimal	0x95C599

Divisor Catalog (16)

1 7 61 127 181 427 889 1,267 7,747 11,041 22,987 54,229 77,287 160,909 1,402,207 9,815,449

Collatz Trajectory (207 steps to reach 1)

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

9,815,449 29,446,348 14,723,174 7,361,587 22,084,762 11,042,381 33,127,144 16,563,572 8,281,786 4,140,893 12,422,680 6,211,340 3,105,670 1,552,835 4,658,506 2,329,253 6,987,760 3,493,880 1,746,940 873,470 436,735 1,310,206 655,103 1,965,310 982,655 2,947,966 1,473,983 4,421,950 2,210,975 6,632,926 3,316,463 9,949,390 4,974,695 14,924,086 7,462,043 22,386,130 11,193,065 33,579,196 16,789,598 8,394,799 25,184,398 12,592,199 37,776,598 18,888,299 56,664,898 28,332,449 84,997,348 42,498,674 21,249,337 63,748,012 31,874,006 15,937,003 47,811,010 23,905,505 71,716,516 35,858,258 17,929,129 53,787,388 26,893,694 13,446,847

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