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Atlas › Integer Profiles › Node 8,029,616

8,029,616

24 × 7 × 71693
Abundant Even Composite

8,029,616 factors as 2^4 × 7 × 71693. Its 20 positive divisors give a proper-divisor sum of 9,750,496, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 71693
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 17,780,112
Proper Divisor Sum 9,750,496
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8029597 ← → #8029631

Radix Representation

Decimal 8029616
Binary 11110101000010110110000 (23 bits)
Octal 0o36502660
Hexadecimal 0x7A85B0

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 71,693 143,386 286,772 501,851 573,544 1,003,702 1,147,088 2,007,404 4,014,808 8,029,616

Collatz Trajectory (168 steps to reach 1)

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

8,029,616 4,014,808 2,007,404 1,003,702 501,851 1,505,554 752,777 2,258,332 1,129,166 564,583 1,693,750 846,875 2,540,626 1,270,313 3,810,940 1,905,470 952,735 2,858,206 1,429,103 4,287,310 2,143,655 6,430,966 3,215,483 9,646,450 4,823,225 14,469,676 7,234,838 3,617,419 10,852,258 5,426,129 16,278,388 8,139,194 4,069,597 12,208,792 6,104,396 3,052,198 1,526,099 4,578,298 2,289,149 6,867,448 3,433,724 1,716,862 858,431 2,575,294 1,287,647 3,862,942 1,931,471 5,794,414 2,897,207 8,691,622 4,345,811 13,037,434 6,518,717 19,556,152 9,778,076 4,889,038 2,444,519 7,333,558 3,666,779 11,000,338

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