8,464,770

2 × 3³ × 5 × 107 × 293

Starting at 8,464,770, the Collatz iteration reaches 1 after 199 steps. The first transition is 4232385; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 107 × 293

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 22,861,440

Proper Divisor Sum 14,396,670

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8464769 ← → #8464777

Radix Representation

Decimal	8464770
Binary	100000010010100110000010 (24 bits)
Octal	0o40224602
Hexadecimal	0x812982

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 107 135 214 270 293 321 535 586 642 879 963 1,070 1,465 1,605 1,758 1,926 2,637 2,889 2,930 3,210 4,395 4,815 5,274 5,778 7,911 8,790 9,630 13,185 14,445 15,822 26,370 28,890 31,351 39,555 62,702 79,110 94,053 156,755 188,106 282,159 313,510 470,265 564,318 846,477 940,530 1,410,795

Collatz Trajectory (199 steps to reach 1)

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

8,464,770 4,232,385 12,697,156 6,348,578 3,174,289 9,522,868 4,761,434 2,380,717 7,142,152 3,571,076 1,785,538 892,769 2,678,308 1,339,154 669,577 2,008,732 1,004,366 502,183 1,506,550 753,275 2,259,826 1,129,913 3,389,740 1,694,870 847,435 2,542,306 1,271,153 3,813,460 1,906,730 953,365 2,860,096 1,430,048 715,024 357,512 178,756 89,378 44,689 134,068 67,034 33,517 100,552 50,276 25,138 12,569 37,708 18,854 9,427 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950

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