λ
Sequence Observatory

8,706,294

2 × 32 × 19 × 25457
Abundant Even Composite

Starting at 8,706,294, the Collatz iteration reaches 1 after 212 steps. The first transition is 4353147; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 25457
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,857,240
Proper Divisor Sum 11,150,946
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8706289 ← → #8706323

Radix Representation

Decimal 8706294
Binary 100001001101100011110110 (24 bits)
Octal 0o41154366
Hexadecimal 0x84D8F6

Divisor Catalog (24)

1 2 3 6 9 18 19 38 57 114 171 342 25,457 50,914 76,371 152,742 229,113 458,226 483,683 967,366 1,451,049 2,902,098 4,353,147 8,706,294

Collatz Trajectory (212 steps to reach 1)

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

8,706,294 4,353,147 13,059,442 6,529,721 19,589,164 9,794,582 4,897,291 14,691,874 7,345,937 22,037,812 11,018,906 5,509,453 16,528,360 8,264,180 4,132,090 2,066,045 6,198,136 3,099,068 1,549,534 774,767 2,324,302 1,162,151 3,486,454 1,743,227 5,229,682 2,614,841 7,844,524 3,922,262 1,961,131 5,883,394 2,941,697 8,825,092 4,412,546 2,206,273 6,618,820 3,309,410 1,654,705 4,964,116 2,482,058 1,241,029 3,723,088 1,861,544 930,772 465,386 232,693 698,080 349,040 174,520 87,260 43,630 21,815 65,446 32,723 98,170 49,085 147,256 73,628 36,814 18,407 55,222

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