8,238,370

2 × 5 × 7² × 17 × 23 × 43

Starting at 8,238,370, the Collatz iteration reaches 1 after 261 steps. The first transition is 4119185; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 17 × 23 × 43

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 19,502,208

Proper Divisor Sum 11,263,838

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8238361 ← → #8238371

Radix Representation

Decimal	8238370
Binary	11111011011010100100010 (23 bits)
Octal	0o37332442
Hexadecimal	0x7DB522

Divisor Catalog (60 of 96)

1 2 5 7 10 14 17 23 34 35 43 46 49 70 85 86 98 115 119 161 170 215 230 238 245 301 322 391 430 490 595 602 731 782 805 833 989 1,127 1,190 1,462 1,505 1,610 1,666 1,955 1,978 2,107 2,254 2,737 3,010 3,655 3,910 4,165 4,214 4,945 5,117 5,474 5,635 6,923 7,310 8,330

Collatz Trajectory (261 steps to reach 1)

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

8,238,370 4,119,185 12,357,556 6,178,778 3,089,389 9,268,168 4,634,084 2,317,042 1,158,521 3,475,564 1,737,782 868,891 2,606,674 1,303,337 3,910,012 1,955,006 977,503 2,932,510 1,466,255 4,398,766 2,199,383 6,598,150 3,299,075 9,897,226 4,948,613 14,845,840 7,422,920 3,711,460 1,855,730 927,865 2,783,596 1,391,798 695,899 2,087,698 1,043,849 3,131,548 1,565,774 782,887 2,348,662 1,174,331 3,522,994 1,761,497 5,284,492 2,642,246 1,321,123 3,963,370 1,981,685 5,945,056 2,972,528 1,486,264 743,132 371,566 185,783 557,350 278,675 836,026 418,013 1,254,040 627,020 313,510

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