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Atlas › Integer Profiles › Node 8,728,360

8,728,360

23 × 5 × 31 × 7039
Abundant Even Composite

8,728,360 factors as 2^3 × 5 × 31 × 7039. Its 32 positive divisors give a proper-divisor sum of 11,546,840, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 31 × 7039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,275,200
Proper Divisor Sum 11,546,840
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8728331 ← → #8728373

Radix Representation

Decimal 8728360
Binary 100001010010111100101000 (24 bits)
Octal 0o41227450
Hexadecimal 0x852F28

Divisor Catalog (32)

1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1,240 7,039 14,078 28,156 35,195 56,312 70,390 140,780 218,209 281,560 436,418 872,836 1,091,045 1,745,672 2,182,090 4,364,180 8,728,360

Collatz Trajectory (212 steps to reach 1)

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

8,728,360 4,364,180 2,182,090 1,091,045 3,273,136 1,636,568 818,284 409,142 204,571 613,714 306,857 920,572 460,286 230,143 690,430 345,215 1,035,646 517,823 1,553,470 776,735 2,330,206 1,165,103 3,495,310 1,747,655 5,242,966 2,621,483 7,864,450 3,932,225 11,796,676 5,898,338 2,949,169 8,847,508 4,423,754 2,211,877 6,635,632 3,317,816 1,658,908 829,454 414,727 1,244,182 622,091 1,866,274 933,137 2,799,412 1,399,706 699,853 2,099,560 1,049,780 524,890 262,445 787,336 393,668 196,834 98,417 295,252 147,626 73,813 221,440 110,720 55,360

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