λ
Sigma Notebook

6,437,394

2 × 34 × 79 × 503
Abundant Even Composite

6,437,394 is even and not a perfect square. Its factorization is 2 × 3^4 × 79 × 503 and its 40 divisors sum to 14,636,160.

Prime Factor Structure

Factorization String 2 × 3^4 × 79 × 503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,636,160
Proper Divisor Sum 8,198,766
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6437393 ← → #6437413

Radix Representation

Decimal 6437394
Binary 11000100011101000010010 (23 bits)
Octal 0o30435022
Hexadecimal 0x623A12

Divisor Catalog (40)

1 2 3 6 9 18 27 54 79 81 158 162 237 474 503 711 1,006 1,422 1,509 2,133 3,018 4,266 4,527 6,399 9,054 12,798 13,581 27,162 39,737 40,743 79,474 81,486 119,211 238,422 357,633 715,266 1,072,899 2,145,798 3,218,697 6,437,394

Collatz Trajectory (121 steps to reach 1)

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

6,437,394 3,218,697 9,656,092 4,828,046 2,414,023 7,242,070 3,621,035 10,863,106 5,431,553 16,294,660 8,147,330 4,073,665 12,220,996 6,110,498 3,055,249 9,165,748 4,582,874 2,291,437 6,874,312 3,437,156 1,718,578 859,289 2,577,868 1,288,934 644,467 1,933,402 966,701 2,900,104 1,450,052 725,026 362,513 1,087,540 543,770 271,885 815,656 407,828 203,914 101,957 305,872 152,936 76,468 38,234 19,117 57,352 28,676 14,338 7,169 21,508 10,754 5,377 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538 2,269 6,808

More profiles

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