8,208,514

2 × 1493 × 2749

Starting at 8,208,514, the Collatz iteration reaches 1 after 168 steps. The first transition is 4104257; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 1493 × 2749

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,325,500

Proper Divisor Sum 4,116,986

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8208449 ← → #8208553

Radix Representation

Decimal	8208514
Binary	11111010100000010000010 (23 bits)
Octal	0o37240202
Hexadecimal	0x7D4082

Divisor Catalog (8)

1 2 1,493 2,749 2,986 5,498 4,104,257 8,208,514

Collatz Trajectory (168 steps to reach 1)

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

8,208,514 4,104,257 12,312,772 6,156,386 3,078,193 9,234,580 4,617,290 2,308,645 6,925,936 3,462,968 1,731,484 865,742 432,871 1,298,614 649,307 1,947,922 973,961 2,921,884 1,460,942 730,471 2,191,414 1,095,707 3,287,122 1,643,561 4,930,684 2,465,342 1,232,671 3,698,014 1,849,007 5,547,022 2,773,511 8,320,534 4,160,267 12,480,802 6,240,401 18,721,204 9,360,602 4,680,301 14,040,904 7,020,452 3,510,226 1,755,113 5,265,340 2,632,670 1,316,335 3,949,006 1,974,503 5,923,510 2,961,755 8,885,266 4,442,633 13,327,900 6,663,950 3,331,975 9,995,926 4,997,963 14,993,890 7,496,945 22,490,836 11,245,418

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