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Atlas › Integer Profiles › Node 8,033,334

8,033,334

2 × 3 × 47 × 61 × 467
Abundant Even Composite

8,033,334 factors as 2 × 3 × 47 × 61 × 467. Its 32 positive divisors give a proper-divisor sum of 8,679,882, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 3 × 47 × 61 × 467
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,713,216
Proper Divisor Sum 8,679,882
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8033327 ← → #8033339

Radix Representation

Decimal 8033334
Binary 11110101001010000110110 (23 bits)
Octal 0o36512066
Hexadecimal 0x7A9436

Divisor Catalog (32)

1 2 3 6 47 61 94 122 141 183 282 366 467 934 1,401 2,802 2,867 5,734 8,601 17,202 21,949 28,487 43,898 56,974 65,847 85,461 131,694 170,922 1,338,889 2,677,778 4,016,667 8,033,334

Collatz Trajectory (168 steps to reach 1)

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

8,033,334 4,016,667 12,050,002 6,025,001 18,075,004 9,037,502 4,518,751 13,556,254 6,778,127 20,334,382 10,167,191 30,501,574 15,250,787 45,752,362 22,876,181 68,628,544 34,314,272 17,157,136 8,578,568 4,289,284 2,144,642 1,072,321 3,216,964 1,608,482 804,241 2,412,724 1,206,362 603,181 1,809,544 904,772 452,386 226,193 678,580 339,290 169,645 508,936 254,468 127,234 63,617 190,852 95,426 47,713 143,140 71,570 35,785 107,356 53,678 26,839 80,518 40,259 120,778 60,389 181,168 90,584 45,292 22,646 11,323 33,970 16,985 50,956

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