λ
Sequence Observatory

6,380,376

23 × 3 × 83 × 3203
Abundant Even Composite

Starting at 6,380,376, the Collatz iteration reaches 1 after 165 steps. The first transition is 3190188; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 83 × 3203
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,148,160
Proper Divisor Sum 9,767,784
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6380357 ← → #6380401

Radix Representation

Decimal 6380376
Binary 11000010101101101011000 (23 bits)
Octal 0o30255530
Hexadecimal 0x615B58

Divisor Catalog (32)

1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1,992 3,203 6,406 9,609 12,812 19,218 25,624 38,436 76,872 265,849 531,698 797,547 1,063,396 1,595,094 2,126,792 3,190,188 6,380,376

Collatz Trajectory (165 steps to reach 1)

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

6,380,376 3,190,188 1,595,094 797,547 2,392,642 1,196,321 3,588,964 1,794,482 897,241 2,691,724 1,345,862 672,931 2,018,794 1,009,397 3,028,192 1,514,096 757,048 378,524 189,262 94,631 283,894 141,947 425,842 212,921 638,764 319,382 159,691 479,074 239,537 718,612 359,306 179,653 538,960 269,480 134,740 67,370 33,685 101,056 50,528 25,264 12,632 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188

More profiles

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