8,723,080

2³ × 5 × 218077

8,723,080 factors as 2^3 × 5 × 218077. Its 16 positive divisors give a proper-divisor sum of 10,903,940, so this integer is abundant. The Collatz stopping time is 318 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 218077

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,627,020

Proper Divisor Sum 10,903,940

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8723063 ← → #8723081

Radix Representation

Decimal	8723080
Binary	100001010001101010001000 (24 bits)
Octal	0o41215210
Hexadecimal	0x851A88

Divisor Catalog (16)

1 2 4 5 8 10 20 40 218,077 436,154 872,308 1,090,385 1,744,616 2,180,770 4,361,540 8,723,080

Collatz Trajectory (318 steps to reach 1)

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

8,723,080 4,361,540 2,180,770 1,090,385 3,271,156 1,635,578 817,789 2,453,368 1,226,684 613,342 306,671 920,014 460,007 1,380,022 690,011 2,070,034 1,035,017 3,105,052 1,552,526 776,263 2,328,790 1,164,395 3,493,186 1,746,593 5,239,780 2,619,890 1,309,945 3,929,836 1,964,918 982,459 2,947,378 1,473,689 4,421,068 2,210,534 1,105,267 3,315,802 1,657,901 4,973,704 2,486,852 1,243,426 621,713 1,865,140 932,570 466,285 1,398,856 699,428 349,714 174,857 524,572 262,286 131,143 393,430 196,715 590,146 295,073 885,220 442,610 221,305 663,916 331,958

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