7,308,162

2 × 3² × 113 × 3593

Starting at 7,308,162, the Collatz iteration reaches 1 after 191 steps. The first transition is 3654081; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 113 × 3593

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,978,924

Proper Divisor Sum 8,670,762

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7308137 ← → #7308173

Radix Representation

Decimal	7308162
Binary	11011111000001110000010 (23 bits)
Octal	0o33701602
Hexadecimal	0x6F8382

Divisor Catalog (24)

1 2 3 6 9 18 113 226 339 678 1,017 2,034 3,593 7,186 10,779 21,558 32,337 64,674 406,009 812,018 1,218,027 2,436,054 3,654,081 7,308,162

Collatz Trajectory (191 steps to reach 1)

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

7,308,162 3,654,081 10,962,244 5,481,122 2,740,561 8,221,684 4,110,842 2,055,421 6,166,264 3,083,132 1,541,566 770,783 2,312,350 1,156,175 3,468,526 1,734,263 5,202,790 2,601,395 7,804,186 3,902,093 11,706,280 5,853,140 2,926,570 1,463,285 4,389,856 2,194,928 1,097,464 548,732 274,366 137,183 411,550 205,775 617,326 308,663 925,990 462,995 1,388,986 694,493 2,083,480 1,041,740 520,870 260,435 781,306 390,653 1,171,960 585,980 292,990 146,495 439,486 219,743 659,230 329,615 988,846 494,423 1,483,270 741,635 2,224,906 1,112,453 3,337,360 1,668,680

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