908,220

2² × 3 × 5 × 15137

Starting at 908,220, the Collatz iteration reaches 1 after 201 steps. The first transition is 454110; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 15137

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,543,184

Proper Divisor Sum 1,634,964

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #908213 ← → #908221

Radix Representation

Decimal	908220
Binary	11011101101110111100 (20 bits)
Octal	0o3355674
Hexadecimal	0xDDBBC

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 15,137 30,274 45,411 60,548 75,685 90,822 151,370 181,644 227,055 302,740 454,110 908,220

Collatz Trajectory (201 steps to reach 1)

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

908,220 454,110 227,055 681,166 340,583 1,021,750 510,875 1,532,626 766,313 2,298,940 1,149,470 574,735 1,724,206 862,103 2,586,310 1,293,155 3,879,466 1,939,733 5,819,200 2,909,600 1,454,800 727,400 363,700 181,850 90,925 272,776 136,388 68,194 34,097 102,292 51,146 25,573 76,720 38,360 19,180 9,590 4,795 14,386 7,193 21,580 10,790 5,395 16,186 8,093 24,280 12,140 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764

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