8,388,279

3⁴ × 29 × 3571

Starting at 8,388,279, the Collatz iteration reaches 1 after 274 steps. The first transition is 25164838; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 29 × 3571

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 12,966,360

Proper Divisor Sum 4,578,081

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8388277 ← → #8388283

Radix Representation

Decimal	8388279
Binary	11111111111111010110111 (23 bits)
Octal	0o37777267
Hexadecimal	0x7FFEB7

Divisor Catalog (20)

1 3 9 27 29 81 87 261 783 2,349 3,571 10,713 32,139 96,417 103,559 289,251 310,677 932,031 2,796,093 8,388,279

Collatz Trajectory (274 steps to reach 1)

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

8,388,279 25,164,838 12,582,419 37,747,258 18,873,629 56,620,888 28,310,444 14,155,222 7,077,611 21,232,834 10,616,417 31,849,252 15,924,626 7,962,313 23,886,940 11,943,470 5,971,735 17,915,206 8,957,603 26,872,810 13,436,405 40,309,216 20,154,608 10,077,304 5,038,652 2,519,326 1,259,663 3,778,990 1,889,495 5,668,486 2,834,243 8,502,730 4,251,365 12,754,096 6,377,048 3,188,524 1,594,262 797,131 2,391,394 1,195,697 3,587,092 1,793,546 896,773 2,690,320 1,345,160 672,580 336,290 168,145 504,436 252,218 126,109 378,328 189,164 94,582 47,291 141,874 70,937 212,812 106,406 53,203

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