8,365,364

2² × 7 × 167 × 1789

Starting at 8,365,364, the Collatz iteration reaches 1 after 199 steps. The first transition is 4182682; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 167 × 1789

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,840,320

Proper Divisor Sum 8,474,956

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8365333 ← → #8365387

Radix Representation

Decimal	8365364
Binary	11111111010010100110100 (23 bits)
Octal	0o37722464
Hexadecimal	0x7FA534

Divisor Catalog (24)

1 2 4 7 14 28 167 334 668 1,169 1,789 2,338 3,578 4,676 7,156 12,523 25,046 50,092 298,763 597,526 1,195,052 2,091,341 4,182,682 8,365,364

Collatz Trajectory (199 steps to reach 1)

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

8,365,364 4,182,682 2,091,341 6,274,024 3,137,012 1,568,506 784,253 2,352,760 1,176,380 588,190 294,095 882,286 441,143 1,323,430 661,715 1,985,146 992,573 2,977,720 1,488,860 744,430 372,215 1,116,646 558,323 1,674,970 837,485 2,512,456 1,256,228 628,114 314,057 942,172 471,086 235,543 706,630 353,315 1,059,946 529,973 1,589,920 794,960 397,480 198,740 99,370 49,685 149,056 74,528 37,264 18,632 9,316 4,658 2,329 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475

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