8,211,399

3 × 7 × 391019

Starting at 8,211,399, the Collatz iteration reaches 1 after 336 steps. The first transition is 24634198; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 391019

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,512,640

Proper Divisor Sum 4,301,241

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8211397 ← → #8211403

Radix Representation

Decimal	8211399
Binary	11111010100101111000111 (23 bits)
Octal	0o37245707
Hexadecimal	0x7D4BC7

Divisor Catalog (8)

1 3 7 21 391,019 1,173,057 2,737,133 8,211,399

Collatz Trajectory (336 steps to reach 1)

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

8,211,399 24,634,198 12,317,099 36,951,298 18,475,649 55,426,948 27,713,474 13,856,737 41,570,212 20,785,106 10,392,553 31,177,660 15,588,830 7,794,415 23,383,246 11,691,623 35,074,870 17,537,435 52,612,306 26,306,153 78,918,460 39,459,230 19,729,615 59,188,846 29,594,423 88,783,270 44,391,635 133,174,906 66,587,453 199,762,360 99,881,180 49,940,590 24,970,295 74,910,886 37,455,443 112,366,330 56,183,165 168,549,496 84,274,748 42,137,374 21,068,687 63,206,062 31,603,031 94,809,094 47,404,547 142,213,642 71,106,821 213,320,464 106,660,232 53,330,116 26,665,058 13,332,529 39,997,588 19,998,794 9,999,397 29,998,192 14,999,096 7,499,548 3,749,774 1,874,887

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