λ
Ratio Atlas

6,940,734

2 × 3 × 821 × 1409
Abundant Even Composite

6,940,734 factors as 2 × 3 × 821 × 1409. Its 16 positive divisors give a proper-divisor sum of 6,967,506, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2 × 3 × 821 × 1409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,908,240
Proper Divisor Sum 6,967,506
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6940729 ← → #6940741

Radix Representation

Decimal 6940734
Binary 11010011110100000111110 (23 bits)
Octal 0o32364076
Hexadecimal 0x69E83E

Divisor Catalog (16)

1 2 3 6 821 1,409 1,642 2,463 2,818 4,227 4,926 8,454 1,156,789 2,313,578 3,470,367 6,940,734

Collatz Trajectory (134 steps to reach 1)

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

6,940,734 3,470,367 10,411,102 5,205,551 15,616,654 7,808,327 23,424,982 11,712,491 35,137,474 17,568,737 52,706,212 26,353,106 13,176,553 39,529,660 19,764,830 9,882,415 29,647,246 14,823,623 44,470,870 22,235,435 66,706,306 33,353,153 100,059,460 50,029,730 25,014,865 75,044,596 37,522,298 18,761,149 56,283,448 28,141,724 14,070,862 7,035,431 21,106,294 10,553,147 31,659,442 15,829,721 47,489,164 23,744,582 11,872,291 35,616,874 17,808,437 53,425,312 26,712,656 13,356,328 6,678,164 3,339,082 1,669,541 5,008,624 2,504,312 1,252,156 626,078 313,039 939,118 469,559 1,408,678 704,339 2,113,018 1,056,509 3,169,528 1,584,764

More profiles

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