λ
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Atlas › Integer Profiles › Node 6,604,470

6,604,470

2 × 33 × 5 × 61 × 401
Abundant Even Composite

6,604,470 factors as 2 × 3^3 × 5 × 61 × 401. Its 64 positive divisors give a proper-divisor sum of 11,340,810, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 61 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,945,280
Proper Divisor Sum 11,340,810
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6604469 ← → #6604471

Radix Representation

Decimal 6604470
Binary 11001001100011010110110 (23 bits)
Octal 0o31143266
Hexadecimal 0x64C6B6

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 401 549 610 802 915 1,098 1,203 1,647 1,830 2,005 2,406 2,745 3,294 3,609 4,010 5,490 6,015 7,218 8,235 10,827 12,030 16,470 18,045 21,654 24,461 36,090 48,922 54,135 73,383 108,270 122,305 146,766 220,149 244,610 366,915 440,298 660,447 733,830 1,100,745

Collatz Trajectory (196 steps to reach 1)

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

6,604,470 3,302,235 9,906,706 4,953,353 14,860,060 7,430,030 3,715,015 11,145,046 5,572,523 16,717,570 8,358,785 25,076,356 12,538,178 6,269,089 18,807,268 9,403,634 4,701,817 14,105,452 7,052,726 3,526,363 10,579,090 5,289,545 15,868,636 7,934,318 3,967,159 11,901,478 5,950,739 17,852,218 8,926,109 26,778,328 13,389,164 6,694,582 3,347,291 10,041,874 5,020,937 15,062,812 7,531,406 3,765,703 11,297,110 5,648,555 16,945,666 8,472,833 25,418,500 12,709,250 6,354,625 19,063,876 9,531,938 4,765,969 14,297,908 7,148,954 3,574,477 10,723,432 5,361,716 2,680,858 1,340,429 4,021,288 2,010,644 1,005,322 502,661 1,507,984

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