8,564,897

11 × 31 × 25117

Starting at 8,564,897, the Collatz iteration reaches 1 after 199 steps. The first transition is 25694692; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 31 × 25117

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,645,312

Proper Divisor Sum 1,080,415

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #8564891 ← → #8564909

Radix Representation

Decimal	8564897
Binary	100000101011000010100001 (24 bits)
Octal	0o40530241
Hexadecimal	0x82B0A1

Divisor Catalog (8)

1 11 31 341 25,117 276,287 778,627 8,564,897

Collatz Trajectory (199 steps to reach 1)

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

8,564,897 25,694,692 12,847,346 6,423,673 19,271,020 9,635,510 4,817,755 14,453,266 7,226,633 21,679,900 10,839,950 5,419,975 16,259,926 8,129,963 24,389,890 12,194,945 36,584,836 18,292,418 9,146,209 27,438,628 13,719,314 6,859,657 20,578,972 10,289,486 5,144,743 15,434,230 7,717,115 23,151,346 11,575,673 34,727,020 17,363,510 8,681,755 26,045,266 13,022,633 39,067,900 19,533,950 9,766,975 29,300,926 14,650,463 43,951,390 21,975,695 65,927,086 32,963,543 98,890,630 49,445,315 148,335,946 74,167,973 222,503,920 111,251,960 55,625,980 27,812,990 13,906,495 41,719,486 20,859,743 62,579,230 31,289,615 93,868,846 46,934,423 140,803,270 70,401,635

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