8,590,478

2 × 13 × 139 × 2377

Starting at 8,590,478, the Collatz iteration reaches 1 after 155 steps. The first transition is 4295239; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 139 × 2377

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,982,640

Proper Divisor Sum 5,392,162

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8590471 ← → #8590487

Radix Representation

Decimal	8590478
Binary	100000110001010010001110 (24 bits)
Octal	0o40612216
Hexadecimal	0x83148E

Divisor Catalog (16)

1 2 13 26 139 278 1,807 2,377 3,614 4,754 30,901 61,802 330,403 660,806 4,295,239 8,590,478

Collatz Trajectory (155 steps to reach 1)

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

8,590,478 4,295,239 12,885,718 6,442,859 19,328,578 9,664,289 28,992,868 14,496,434 7,248,217 21,744,652 10,872,326 5,436,163 16,308,490 8,154,245 24,462,736 12,231,368 6,115,684 3,057,842 1,528,921 4,586,764 2,293,382 1,146,691 3,440,074 1,720,037 5,160,112 2,580,056 1,290,028 645,014 322,507 967,522 483,761 1,451,284 725,642 362,821 1,088,464 544,232 272,116 136,058 68,029 204,088 102,044 51,022 25,511 76,534 38,267 114,802 57,401 172,204 86,102 43,051 129,154 64,577 193,732 96,866 48,433 145,300 72,650 36,325 108,976 54,488

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