λ
Prime Ledger

6,940,638

2 × 32 × 385591
Abundant Even Composite

6,940,638 has the prime decomposition 2 × 3^2 × 385591. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 385591
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,038,088
Proper Divisor Sum 8,097,450
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6940589 ← → #6940639

Radix Representation

Decimal 6940638
Binary 11010011110011111011110 (23 bits)
Octal 0o32363736
Hexadecimal 0x69E7DE

Divisor Catalog (12)

1 2 3 6 9 18 385,591 771,182 1,156,773 2,313,546 3,470,319 6,940,638

Collatz Trajectory (222 steps to reach 1)

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

6,940,638 3,470,319 10,410,958 5,205,479 15,616,438 7,808,219 23,424,658 11,712,329 35,136,988 17,568,494 8,784,247 26,352,742 13,176,371 39,529,114 19,764,557 59,293,672 29,646,836 14,823,418 7,411,709 22,235,128 11,117,564 5,558,782 2,779,391 8,338,174 4,169,087 12,507,262 6,253,631 18,760,894 9,380,447 28,141,342 14,070,671 42,212,014 21,106,007 63,318,022 31,659,011 94,977,034 47,488,517 142,465,552 71,232,776 35,616,388 17,808,194 8,904,097 26,712,292 13,356,146 6,678,073 20,034,220 10,017,110 5,008,555 15,025,666 7,512,833 22,538,500 11,269,250 5,634,625 16,903,876 8,451,938 4,225,969 12,677,908 6,338,954 3,169,477 9,508,432

More profiles

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