λ
Sigma Notebook

8,308,930

2 × 5 × 72 × 31 × 547
Abundant Even Composite

8,308,930 is even and not a perfect square. Its factorization is 2 × 5 × 7^2 × 31 × 547 and its 48 divisors sum to 17,991,936.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 31 × 547
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,991,936
Proper Divisor Sum 9,683,006
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8308921 ← → #8308931

Radix Representation

Decimal 8308930
Binary 11111101100100011000010 (23 bits)
Octal 0o37544302
Hexadecimal 0x7EC8C2

Divisor Catalog (48)

1 2 5 7 10 14 31 35 49 62 70 98 155 217 245 310 434 490 547 1,085 1,094 1,519 2,170 2,735 3,038 3,829 5,470 7,595 7,658 15,190 16,957 19,145 26,803 33,914 38,290 53,606 84,785 118,699 134,015 169,570 237,398 268,030 593,495 830,893 1,186,990 1,661,786 4,154,465 8,308,930

Collatz Trajectory (230 steps to reach 1)

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

8,308,930 4,154,465 12,463,396 6,231,698 3,115,849 9,347,548 4,673,774 2,336,887 7,010,662 3,505,331 10,515,994 5,257,997 15,773,992 7,886,996 3,943,498 1,971,749 5,915,248 2,957,624 1,478,812 739,406 369,703 1,109,110 554,555 1,663,666 831,833 2,495,500 1,247,750 623,875 1,871,626 935,813 2,807,440 1,403,720 701,860 350,930 175,465 526,396 263,198 131,599 394,798 197,399 592,198 296,099 888,298 444,149 1,332,448 666,224 333,112 166,556 83,278 41,639 124,918 62,459 187,378 93,689 281,068 140,534 70,267 210,802 105,401 316,204

More profiles

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