λ
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Atlas › Integer Profiles › Node 8,095,232

8,095,232

29 × 97 × 163
Abundant Even Composite

8,095,232 factors as 2^9 × 97 × 163. Its 40 positive divisors give a proper-divisor sum of 8,346,424, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^9 × 97 × 163
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,441,656
Proper Divisor Sum 8,346,424
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8095231 ← → #8095237

Radix Representation

Decimal 8095232
Binary 11110111000011000000000 (23 bits)
Octal 0o36703000
Hexadecimal 0x7B8600

Divisor Catalog (40)

1 2 4 8 16 32 64 97 128 163 194 256 326 388 512 652 776 1,304 1,552 2,608 3,104 5,216 6,208 10,432 12,416 15,811 20,864 24,832 31,622 41,728 49,664 63,244 83,456 126,488 252,976 505,952 1,011,904 2,023,808 4,047,616 8,095,232

Collatz Trajectory (199 steps to reach 1)

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

8,095,232 4,047,616 2,023,808 1,011,904 505,952 252,976 126,488 63,244 31,622 15,811 47,434 23,717 71,152 35,576 17,788 8,894 4,447 13,342 6,671 20,014 10,007 30,022 15,011 45,034 22,517 67,552 33,776 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394

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