8,387,842

2 × 127 × 33023

Starting at 8,387,842, the Collatz iteration reaches 1 after 168 steps. The first transition is 4193921; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 127 × 33023

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,681,216

Proper Divisor Sum 4,293,374

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8387839 ← → #8387857

Radix Representation

Decimal	8387842
Binary	11111111111110100000010 (23 bits)
Octal	0o37776402
Hexadecimal	0x7FFD02

Divisor Catalog (8)

1 2 127 254 33,023 66,046 4,193,921 8,387,842

Collatz Trajectory (168 steps to reach 1)

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

8,387,842 4,193,921 12,581,764 6,290,882 3,145,441 9,436,324 4,718,162 2,359,081 7,077,244 3,538,622 1,769,311 5,307,934 2,653,967 7,961,902 3,980,951 11,942,854 5,971,427 17,914,282 8,957,141 26,871,424 13,435,712 6,717,856 3,358,928 1,679,464 839,732 419,866 209,933 629,800 314,900 157,450 78,725 236,176 118,088 59,044 29,522 14,761 44,284 22,142 11,071 33,214 16,607 49,822 24,911 74,734 37,367 112,102 56,051 168,154 84,077 252,232 126,116 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207

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