λ
Sequence Observatory

6,641,576

23 × 67 × 12391
Deficient Even Composite

Starting at 6,641,576, the Collatz iteration reaches 1 after 134 steps. The first transition is 3320788; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 67 × 12391
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,639,840
Proper Divisor Sum 5,998,264
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6641573 ← → #6641587

Radix Representation

Decimal 6641576
Binary 11001010101011110101000 (23 bits)
Octal 0o31253650
Hexadecimal 0x6557A8

Divisor Catalog (16)

1 2 4 8 67 134 268 536 12,391 24,782 49,564 99,128 830,197 1,660,394 3,320,788 6,641,576

Collatz Trajectory (134 steps to reach 1)

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

6,641,576 3,320,788 1,660,394 830,197 2,490,592 1,245,296 622,648 311,324 155,662 77,831 233,494 116,747 350,242 175,121 525,364 262,682 131,341 394,024 197,012 98,506 49,253 147,760 73,880 36,940 18,470 9,235 27,706 13,853 41,560 20,780 10,390 5,195 15,586 7,793 23,380 11,690 5,845 17,536 8,768 4,384 2,192 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186

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