8,156,188

2² × 61 × 33427

Starting at 8,156,188, the Collatz iteration reaches 1 after 243 steps. The first transition is 4078094; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 61 × 33427

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,507,752

Proper Divisor Sum 6,351,564

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8156179 ← → #8156189

Radix Representation

Decimal	8156188
Binary	11111000111010000011100 (23 bits)
Octal	0o37072034
Hexadecimal	0x7C741C

Divisor Catalog (12)

1 2 4 61 122 244 33,427 66,854 133,708 2,039,047 4,078,094 8,156,188

Collatz Trajectory (243 steps to reach 1)

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

8,156,188 4,078,094 2,039,047 6,117,142 3,058,571 9,175,714 4,587,857 13,763,572 6,881,786 3,440,893 10,322,680 5,161,340 2,580,670 1,290,335 3,871,006 1,935,503 5,806,510 2,903,255 8,709,766 4,354,883 13,064,650 6,532,325 19,596,976 9,798,488 4,899,244 2,449,622 1,224,811 3,674,434 1,837,217 5,511,652 2,755,826 1,377,913 4,133,740 2,066,870 1,033,435 3,100,306 1,550,153 4,650,460 2,325,230 1,162,615 3,487,846 1,743,923 5,231,770 2,615,885 7,847,656 3,923,828 1,961,914 980,957 2,942,872 1,471,436 735,718 367,859 1,103,578 551,789 1,655,368 827,684 413,842 206,921 620,764 310,382

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