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Atlas › Integer Profiles › Node 10,390,912

10,390,912

27 × 7 × 11597
Abundant Even Composite

10,390,912 factors as 2^7 × 7 × 11597. Its 32 positive divisors give a proper-divisor sum of 13,269,008, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^7 × 7 × 11597
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,659,920
Proper Divisor Sum 13,269,008
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #10390889 ← → #10390937

Radix Representation

Decimal 10390912
Binary 100111101000110110000000 (24 bits)
Octal 0o47506600
Hexadecimal 0x9E8D80

Divisor Catalog (32)

1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 11,597 23,194 46,388 81,179 92,776 162,358 185,552 324,716 371,104 649,432 742,208 1,298,864 1,484,416 2,597,728 5,195,456 10,390,912

Collatz Trajectory (96 steps to reach 1)

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

10,390,912 5,195,456 2,597,728 1,298,864 649,432 324,716 162,358 81,179 243,538 121,769 365,308 182,654 91,327 273,982 136,991 410,974 205,487 616,462 308,231 924,694 462,347 1,387,042 693,521 2,080,564 1,040,282 520,141 1,560,424 780,212 390,106 195,053 585,160 292,580 146,290 73,145 219,436 109,718 54,859 164,578 82,289 246,868 123,434 61,717 185,152 92,576 46,288 23,144 11,572 5,786 2,893 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834

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