λ
Sequence Observatory

8,982,246

2 × 3 × 7 × 13 × 16451
Abundant Even Composite

Starting at 8,982,246, the Collatz iteration reaches 1 after 88 steps. The first transition is 4491123; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 16451
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,111,488
Proper Divisor Sum 13,129,242
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8982241 ← → #8982247

Radix Representation

Decimal 8982246
Binary 100010010000111011100110 (24 bits)
Octal 0o42207346
Hexadecimal 0x890EE6

Divisor Catalog (32)

1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 16,451 32,902 49,353 98,706 115,157 213,863 230,314 345,471 427,726 641,589 690,942 1,283,178 1,497,041 2,994,082 4,491,123 8,982,246

Collatz Trajectory (88 steps to reach 1)

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

8,982,246 4,491,123 13,473,370 6,736,685 20,210,056 10,105,028 5,052,514 2,526,257 7,578,772 3,789,386 1,894,693 5,684,080 2,842,040 1,421,020 710,510 355,255 1,065,766 532,883 1,598,650 799,325 2,397,976 1,198,988 599,494 299,747 899,242 449,621 1,348,864 674,432 337,216 168,608 84,304 42,152 21,076 10,538 5,269 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268

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