λ
Integer Codex

3,641,034

2 × 3 × 606839
Abundant Even Composite

For 3,641,034, the 8 positive divisors have a total of 7,282,080. Removing 3,641,034 leaves 3,641,046, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 606839
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,282,080
Proper Divisor Sum 3,641,046
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3640999 ← → #3641041

Radix Representation

Decimal 3641034
Binary 1101111000111011001010 (22 bits)
Octal 0o15707312
Hexadecimal 0x378ECA

Divisor Catalog (8)

1 2 3 6 606,839 1,213,678 1,820,517 3,641,034

Collatz Trajectory (159 steps to reach 1)

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

3,641,034 1,820,517 5,461,552 2,730,776 1,365,388 682,694 341,347 1,024,042 512,021 1,536,064 768,032 384,016 192,008 96,004 48,002 24,001 72,004 36,002 18,001 54,004 27,002 13,501 40,504 20,252 10,126 5,063 15,190 7,595 22,786 11,393 34,180 17,090 8,545 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107

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