λ
Integer Codex

6,727,452

22 × 3 × 560621
Abundant Even Composite

For 6,727,452, the 12 positive divisors have a total of 15,697,416. Removing 6,727,452 leaves 8,969,964, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 560621
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,697,416
Proper Divisor Sum 8,969,964
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6727447 ← → #6727481

Radix Representation

Decimal 6727452
Binary 11001101010011100011100 (23 bits)
Octal 0o31523434
Hexadecimal 0x66A71C

Divisor Catalog (12)

1 2 3 4 6 12 560,621 1,121,242 1,681,863 2,242,484 3,363,726 6,727,452

Collatz Trajectory (209 steps to reach 1)

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

6,727,452 3,363,726 1,681,863 5,045,590 2,522,795 7,568,386 3,784,193 11,352,580 5,676,290 2,838,145 8,514,436 4,257,218 2,128,609 6,385,828 3,192,914 1,596,457 4,789,372 2,394,686 1,197,343 3,592,030 1,796,015 5,388,046 2,694,023 8,082,070 4,041,035 12,123,106 6,061,553 18,184,660 9,092,330 4,546,165 13,638,496 6,819,248 3,409,624 1,704,812 852,406 426,203 1,278,610 639,305 1,917,916 958,958 479,479 1,438,438 719,219 2,157,658 1,078,829 3,236,488 1,618,244 809,122 404,561 1,213,684 606,842 303,421 910,264 455,132 227,566 113,783 341,350 170,675 512,026 256,013

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