8,889,828

2² × 3 × 67 × 11057

Starting at 8,889,828, the Collatz iteration reaches 1 after 349 steps. The first transition is 4444914; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 67 × 11057

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,054,432

Proper Divisor Sum 12,164,604

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #8889821 ← → #8889833

Radix Representation

Decimal	8889828
Binary	100001111010010111100100 (24 bits)
Octal	0o41722744
Hexadecimal	0x87A5E4

Divisor Catalog (24)

1 2 3 4 6 12 67 134 201 268 402 804 11,057 22,114 33,171 44,228 66,342 132,684 740,819 1,481,638 2,222,457 2,963,276 4,444,914 8,889,828

Collatz Trajectory (349 steps to reach 1)

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

8,889,828 4,444,914 2,222,457 6,667,372 3,333,686 1,666,843 5,000,530 2,500,265 7,500,796 3,750,398 1,875,199 5,625,598 2,812,799 8,438,398 4,219,199 12,657,598 6,328,799 18,986,398 9,493,199 28,479,598 14,239,799 42,719,398 21,359,699 64,079,098 32,039,549 96,118,648 48,059,324 24,029,662 12,014,831 36,044,494 18,022,247 54,066,742 27,033,371 81,100,114 40,550,057 121,650,172 60,825,086 30,412,543 91,237,630 45,618,815 136,856,446 68,428,223 205,284,670 102,642,335 307,927,006 153,963,503 461,890,510 230,945,255 692,835,766 346,417,883 1,039,253,650 519,626,825 1,558,880,476 779,440,238 389,720,119 1,169,160,358 584,580,179 1,753,740,538 876,870,269 2,630,610,808

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