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Atlas › Integer Profiles › Node 8,960,072

8,960,072

23 × 11 × 29 × 3511
Abundant Even Composite

8,960,072 factors as 2^3 × 11 × 29 × 3511. Its 32 positive divisors give a proper-divisor sum of 10,004,728, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 29 × 3511
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,964,800
Proper Divisor Sum 10,004,728
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8960057 ← → #8960089

Radix Representation

Decimal 8960072
Binary 100010001011100001001000 (24 bits)
Octal 0o42134110
Hexadecimal 0x88B848

Divisor Catalog (32)

1 2 4 8 11 22 29 44 58 88 116 232 319 638 1,276 2,552 3,511 7,022 14,044 28,088 38,621 77,242 101,819 154,484 203,638 308,968 407,276 814,552 1,120,009 2,240,018 4,480,036 8,960,072

Collatz Trajectory (150 steps to reach 1)

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

8,960,072 4,480,036 2,240,018 1,120,009 3,360,028 1,680,014 840,007 2,520,022 1,260,011 3,780,034 1,890,017 5,670,052 2,835,026 1,417,513 4,252,540 2,126,270 1,063,135 3,189,406 1,594,703 4,784,110 2,392,055 7,176,166 3,588,083 10,764,250 5,382,125 16,146,376 8,073,188 4,036,594 2,018,297 6,054,892 3,027,446 1,513,723 4,541,170 2,270,585 6,811,756 3,405,878 1,702,939 5,108,818 2,554,409 7,663,228 3,831,614 1,915,807 5,747,422 2,873,711 8,621,134 4,310,567 12,931,702 6,465,851 19,397,554 9,698,777 29,096,332 14,548,166 7,274,083 21,822,250 10,911,125 32,733,376 16,366,688 8,183,344 4,091,672 2,045,836

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