λ
Prime Ledger

6,088,668

22 × 3 × 89 × 5701
Abundant Even Composite

6,088,668 has the prime decomposition 2^2 × 3 × 89 × 5701. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 89 × 5701
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,369,040
Proper Divisor Sum 8,280,372
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6088661 ← → #6088673

Radix Representation

Decimal 6088668
Binary 10111001110011111011100 (23 bits)
Octal 0o27163734
Hexadecimal 0x5CE7DC

Divisor Catalog (24)

1 2 3 4 6 12 89 178 267 356 534 1,068 5,701 11,402 17,103 22,804 34,206 68,412 507,389 1,014,778 1,522,167 2,029,556 3,044,334 6,088,668

Collatz Trajectory (165 steps to reach 1)

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

6,088,668 3,044,334 1,522,167 4,566,502 2,283,251 6,849,754 3,424,877 10,274,632 5,137,316 2,568,658 1,284,329 3,852,988 1,926,494 963,247 2,889,742 1,444,871 4,334,614 2,167,307 6,501,922 3,250,961 9,752,884 4,876,442 2,438,221 7,314,664 3,657,332 1,828,666 914,333 2,743,000 1,371,500 685,750 342,875 1,028,626 514,313 1,542,940 771,470 385,735 1,157,206 578,603 1,735,810 867,905 2,603,716 1,301,858 650,929 1,952,788 976,394 488,197 1,464,592 732,296 366,148 183,074 91,537 274,612 137,306 68,653 205,960 102,980 51,490 25,745 77,236 38,618

More profiles

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