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Atlas › Integer Profiles › Node 6,602,016

6,602,016

25 × 3 × 68771
Abundant Even Composite

6,602,016 factors as 2^5 × 3 × 68771. Its 24 positive divisors give a proper-divisor sum of 10,728,528, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 68771
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,330,544
Proper Divisor Sum 10,728,528
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6602003 ← → #6602023

Radix Representation

Decimal 6602016
Binary 11001001011110100100000 (23 bits)
Octal 0o31136440
Hexadecimal 0x64BD20

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 68,771 137,542 206,313 275,084 412,626 550,168 825,252 1,100,336 1,650,504 2,200,672 3,301,008 6,602,016

Collatz Trajectory (147 steps to reach 1)

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

6,602,016 3,301,008 1,650,504 825,252 412,626 206,313 618,940 309,470 154,735 464,206 232,103 696,310 348,155 1,044,466 522,233 1,566,700 783,350 391,675 1,175,026 587,513 1,762,540 881,270 440,635 1,321,906 660,953 1,982,860 991,430 495,715 1,487,146 743,573 2,230,720 1,115,360 557,680 278,840 139,420 69,710 34,855 104,566 52,283 156,850 78,425 235,276 117,638 58,819 176,458 88,229 264,688 132,344 66,172 33,086 16,543 49,630 24,815 74,446 37,223 111,670 55,835 167,506 83,753 251,260

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