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Atlas › Integer Profiles › Node 8,608,840

8,608,840

23 × 5 × 373 × 577
Abundant Even Composite

8,608,840 factors as 2^3 × 5 × 373 × 577. Its 32 positive divisors give a proper-divisor sum of 10,846,640, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 373 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,455,480
Proper Divisor Sum 10,846,640
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8608837 ← → #8608841

Radix Representation

Decimal 8608840
Binary 100000110101110001001000 (24 bits)
Octal 0o40656110
Hexadecimal 0x835C48

Divisor Catalog (32)

1 2 4 5 8 10 20 40 373 577 746 1,154 1,492 1,865 2,308 2,885 2,984 3,730 4,616 5,770 7,460 11,540 14,920 23,080 215,221 430,442 860,884 1,076,105 1,721,768 2,152,210 4,304,420 8,608,840

Collatz Trajectory (181 steps to reach 1)

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

8,608,840 4,304,420 2,152,210 1,076,105 3,228,316 1,614,158 807,079 2,421,238 1,210,619 3,631,858 1,815,929 5,447,788 2,723,894 1,361,947 4,085,842 2,042,921 6,128,764 3,064,382 1,532,191 4,596,574 2,298,287 6,894,862 3,447,431 10,342,294 5,171,147 15,513,442 7,756,721 23,270,164 11,635,082 5,817,541 17,452,624 8,726,312 4,363,156 2,181,578 1,090,789 3,272,368 1,636,184 818,092 409,046 204,523 613,570 306,785 920,356 460,178 230,089 690,268 345,134 172,567 517,702 258,851 776,554 388,277 1,164,832 582,416 291,208 145,604 72,802 36,401 109,204 54,602

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