λ
Sigma Notebook

8,031,342

2 × 3 × 11 × 121687
Abundant Even Composite

8,031,342 is even and not a perfect square. Its factorization is 2 × 3 × 11 × 121687 and its 16 divisors sum to 17,523,072.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 121687
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,523,072
Proper Divisor Sum 9,491,730
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #8031341 ← → #8031343

Radix Representation

Decimal 8031342
Binary 11110101000110001101110 (23 bits)
Octal 0o36506156
Hexadecimal 0x7A8C6E

Divisor Catalog (16)

1 2 3 6 11 22 33 66 121,687 243,374 365,061 730,122 1,338,557 2,677,114 4,015,671 8,031,342

Collatz Trajectory (137 steps to reach 1)

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

8,031,342 4,015,671 12,047,014 6,023,507 18,070,522 9,035,261 27,105,784 13,552,892 6,776,446 3,388,223 10,164,670 5,082,335 15,247,006 7,623,503 22,870,510 11,435,255 34,305,766 17,152,883 51,458,650 25,729,325 77,187,976 38,593,988 19,296,994 9,648,497 28,945,492 14,472,746 7,236,373 21,709,120 10,854,560 5,427,280 2,713,640 1,356,820 678,410 339,205 1,017,616 508,808 254,404 127,202 63,601 190,804 95,402 47,701 143,104 71,552 35,776 17,888 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417

More profiles

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