λ
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2,643,234

2 × 3 × 11 × 29 × 1381
Abundant Even Composite

2,643,234 factors as 2 × 3 × 11 × 29 × 1381. Its 32 positive divisors give a proper-divisor sum of 3,327,006, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 29 × 1381
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,970,240
Proper Divisor Sum 3,327,006
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2643227 ← → #2643239

Radix Representation

Decimal 2643234
Binary 1010000101010100100010 (22 bits)
Octal 0o12052442
Hexadecimal 0x285522

Divisor Catalog (32)

1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1,381 1,914 2,762 4,143 8,286 15,191 30,382 40,049 45,573 80,098 91,146 120,147 240,294 440,539 881,078 1,321,617 2,643,234

Collatz Trajectory (169 steps to reach 1)

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

2,643,234 1,321,617 3,964,852 1,982,426 991,213 2,973,640 1,486,820 743,410 371,705 1,115,116 557,558 278,779 836,338 418,169 1,254,508 627,254 313,627 940,882 470,441 1,411,324 705,662 352,831 1,058,494 529,247 1,587,742 793,871 2,381,614 1,190,807 3,572,422 1,786,211 5,358,634 2,679,317 8,037,952 4,018,976 2,009,488 1,004,744 502,372 251,186 125,593 376,780 188,390 94,195 282,586 141,293 423,880 211,940 105,970 52,985 158,956 79,478 39,739 119,218 59,609 178,828 89,414 44,707 134,122 67,061 201,184 100,592

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