8,311,240

2³ × 5 × 7 × 29683

Starting at 8,311,240, the Collatz iteration reaches 1 after 80 steps. The first transition is 4155620; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 29683

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 21,372,480

Proper Divisor Sum 13,061,240

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #8311231 ← → #8311241

Radix Representation

Decimal	8311240
Binary	11111101101000111001000 (23 bits)
Octal	0o37550710
Hexadecimal	0x7ED1C8

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 29,683 59,366 118,732 148,415 207,781 237,464 296,830 415,562 593,660 831,124 1,038,905 1,187,320 1,662,248 2,077,810 4,155,620 8,311,240

Collatz Trajectory (80 steps to reach 1)

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

8,311,240 4,155,620 2,077,810 1,038,905 3,116,716 1,558,358 779,179 2,337,538 1,168,769 3,506,308 1,753,154 876,577 2,629,732 1,314,866 657,433 1,972,300 986,150 493,075 1,479,226 739,613 2,218,840 1,109,420 554,710 277,355 832,066 416,033 1,248,100 624,050 312,025 936,076 468,038 234,019 702,058 351,029 1,053,088 526,544 263,272 131,636 65,818 32,909 98,728 49,364 24,682 12,341 37,024 18,512 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245

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