λ
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Atlas › Integer Profiles › Node 8,303,092

8,303,092

22 × 7 × 23 × 12893
Abundant Even Composite

8,303,092 factors as 2^2 × 7 × 23 × 12893. Its 24 positive divisors give a proper-divisor sum of 9,026,444, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 23 × 12893
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,329,536
Proper Divisor Sum 9,026,444
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8303081 ← → #8303101

Radix Representation

Decimal 8303092
Binary 11111101011000111110100 (23 bits)
Octal 0o37530764
Hexadecimal 0x7EB1F4

Divisor Catalog (24)

1 2 4 7 14 23 28 46 92 161 322 644 12,893 25,786 51,572 90,251 180,502 296,539 361,004 593,078 1,186,156 2,075,773 4,151,546 8,303,092

Collatz Trajectory (230 steps to reach 1)

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

8,303,092 4,151,546 2,075,773 6,227,320 3,113,660 1,556,830 778,415 2,335,246 1,167,623 3,502,870 1,751,435 5,254,306 2,627,153 7,881,460 3,940,730 1,970,365 5,911,096 2,955,548 1,477,774 738,887 2,216,662 1,108,331 3,324,994 1,662,497 4,987,492 2,493,746 1,246,873 3,740,620 1,870,310 935,155 2,805,466 1,402,733 4,208,200 2,104,100 1,052,050 526,025 1,578,076 789,038 394,519 1,183,558 591,779 1,775,338 887,669 2,663,008 1,331,504 665,752 332,876 166,438 83,219 249,658 124,829 374,488 187,244 93,622 46,811 140,434 70,217 210,652 105,326 52,663

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