8,804,106

2 × 3³ × 19 × 8581

Starting at 8,804,106, the Collatz iteration reaches 1 after 212 steps. The first transition is 4402053; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 19 × 8581

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,596,800

Proper Divisor Sum 11,792,694

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8804077 ← → #8804111

Radix Representation

Decimal	8804106
Binary	100001100101011100001010 (24 bits)
Octal	0o41453412
Hexadecimal	0x86570A

Divisor Catalog (32)

1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1,026 8,581 17,162 25,743 51,486 77,229 154,458 163,039 231,687 326,078 463,374 489,117 978,234 1,467,351 2,934,702 4,402,053 8,804,106

Collatz Trajectory (212 steps to reach 1)

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

8,804,106 4,402,053 13,206,160 6,603,080 3,301,540 1,650,770 825,385 2,476,156 1,238,078 619,039 1,857,118 928,559 2,785,678 1,392,839 4,178,518 2,089,259 6,267,778 3,133,889 9,401,668 4,700,834 2,350,417 7,051,252 3,525,626 1,762,813 5,288,440 2,644,220 1,322,110 661,055 1,983,166 991,583 2,974,750 1,487,375 4,462,126 2,231,063 6,693,190 3,346,595 10,039,786 5,019,893 15,059,680 7,529,840 3,764,920 1,882,460 941,230 470,615 1,411,846 705,923 2,117,770 1,058,885 3,176,656 1,588,328 794,164 397,082 198,541 595,624 297,812 148,906 74,453 223,360 111,680 55,840

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