3,644,154

2 × 3² × 17 × 11909

Starting at 3,644,154, the Collatz iteration reaches 1 after 110 steps. The first transition is 1822077; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 11909

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,360,820

Proper Divisor Sum 4,716,666

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3644153 ← → #3644159

Radix Representation

Decimal	3644154
Binary	1101111001101011111010 (22 bits)
Octal	0o15715372
Hexadecimal	0x379AFA

Divisor Catalog (24)

1 2 3 6 9 17 18 34 51 102 153 306 11,909 23,818 35,727 71,454 107,181 202,453 214,362 404,906 607,359 1,214,718 1,822,077 3,644,154

Collatz Trajectory (110 steps to reach 1)

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

3,644,154 1,822,077 5,466,232 2,733,116 1,366,558 683,279 2,049,838 1,024,919 3,074,758 1,537,379 4,612,138 2,306,069 6,918,208 3,459,104 1,729,552 864,776 432,388 216,194 108,097 324,292 162,146 81,073 243,220 121,610 60,805 182,416 91,208 45,604 22,802 11,401 34,204 17,102 8,551 25,654 12,827 38,482 19,241 57,724 28,862 14,431 43,294 21,647 64,942 32,471 97,414 48,707 146,122 73,061 219,184 109,592 54,796 27,398 13,699 41,098 20,549 61,648 30,824 15,412 7,706 3,853

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