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Atlas › Integer Profiles › Node 8,309,112

8,309,112

23 × 3 × 7 × 49459
Abundant Even Composite

8,309,112 factors as 2^3 × 3 × 7 × 49459. Its 32 positive divisors give a proper-divisor sum of 15,431,688, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 49459
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,740,800
Proper Divisor Sum 15,431,688
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8309071 ← → #8309123

Radix Representation

Decimal 8309112
Binary 11111101100100101111000 (23 bits)
Octal 0o37544570
Hexadecimal 0x7EC978

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 49,459 98,918 148,377 197,836 296,754 346,213 395,672 593,508 692,426 1,038,639 1,187,016 1,384,852 2,077,278 2,769,704 4,154,556 8,309,112

Collatz Trajectory (155 steps to reach 1)

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

8,309,112 4,154,556 2,077,278 1,038,639 3,115,918 1,557,959 4,673,878 2,336,939 7,010,818 3,505,409 10,516,228 5,258,114 2,629,057 7,887,172 3,943,586 1,971,793 5,915,380 2,957,690 1,478,845 4,436,536 2,218,268 1,109,134 554,567 1,663,702 831,851 2,495,554 1,247,777 3,743,332 1,871,666 935,833 2,807,500 1,403,750 701,875 2,105,626 1,052,813 3,158,440 1,579,220 789,610 394,805 1,184,416 592,208 296,104 148,052 74,026 37,013 111,040 55,520 27,760 13,880 6,940 3,470 1,735 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788

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