8,199,684

2² × 3³ × 23 × 3301

Starting at 8,199,684, the Collatz iteration reaches 1 after 106 steps. The first transition is 4099842; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 23 × 3301

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,189,440

Proper Divisor Sum 13,989,756

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8199679 ← → #8199689

Radix Representation

Decimal	8199684
Binary	11111010001111000000100 (23 bits)
Octal	0o37217004
Hexadecimal	0x7D1E04

Divisor Catalog (48)

1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1,242 2,484 3,301 6,602 9,903 13,204 19,806 29,709 39,612 59,418 75,923 89,127 118,836 151,846 178,254 227,769 303,692 356,508 455,538 683,307 911,076 1,366,614 2,049,921 2,733,228 4,099,842 8,199,684

Collatz Trajectory (106 steps to reach 1)

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

8,199,684 4,099,842 2,049,921 6,149,764 3,074,882 1,537,441 4,612,324 2,306,162 1,153,081 3,459,244 1,729,622 864,811 2,594,434 1,297,217 3,891,652 1,945,826 972,913 2,918,740 1,459,370 729,685 2,189,056 1,094,528 547,264 273,632 136,816 68,408 34,204 17,102 8,551 25,654 12,827 38,482 19,241 57,724 28,862 14,431 43,294 21,647 64,942 32,471 97,414 48,707 146,122 73,061 219,184 109,592 54,796 27,398 13,699 41,098 20,549 61,648 30,824 15,412 7,706 3,853 11,560 5,780 2,890 1,445

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