8,920,470

2 × 3 × 5 × 13 × 89 × 257

Starting at 8,920,470, the Collatz iteration reaches 1 after 168 steps. The first transition is 4460235; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 89 × 257

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 23,405,760

Proper Divisor Sum 14,485,290

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8920463 ← → #8920489

Radix Representation

Decimal	8920470
Binary	100010000001110110010110 (24 bits)
Octal	0o42016626
Hexadecimal	0x881D96

Divisor Catalog (60 of 64)

1 2 3 5 6 10 13 15 26 30 39 65 78 89 130 178 195 257 267 390 445 514 534 771 890 1,157 1,285 1,335 1,542 2,314 2,570 2,670 3,341 3,471 3,855 5,785 6,682 6,942 7,710 10,023 11,570 16,705 17,355 20,046 22,873 33,410 34,710 45,746 50,115 68,619 100,230 114,365 137,238 228,730 297,349 343,095 594,698 686,190 892,047 1,486,745

Collatz Trajectory (168 steps to reach 1)

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

8,920,470 4,460,235 13,380,706 6,690,353 20,071,060 10,035,530 5,017,765 15,053,296 7,526,648 3,763,324 1,881,662 940,831 2,822,494 1,411,247 4,233,742 2,116,871 6,350,614 3,175,307 9,525,922 4,762,961 14,288,884 7,144,442 3,572,221 10,716,664 5,358,332 2,679,166 1,339,583 4,018,750 2,009,375 6,028,126 3,014,063 9,042,190 4,521,095 13,563,286 6,781,643 20,344,930 10,172,465 30,517,396 15,258,698 7,629,349 22,888,048 11,444,024 5,722,012 2,861,006 1,430,503 4,291,510 2,145,755 6,437,266 3,218,633 9,655,900 4,827,950 2,413,975 7,241,926 3,620,963 10,862,890 5,431,445 16,294,336 8,147,168 4,073,584 2,036,792

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