8,048,150

2 × 5² × 11 × 14633

8,048,150 factors as 2 × 5^2 × 11 × 14633. Its 24 positive divisors give a proper-divisor sum of 8,283,394, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 14633

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,331,544

Proper Divisor Sum 8,283,394

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8048147 ← → #8048179

Radix Representation

Decimal	8048150
Binary	11110101100111000010110 (23 bits)
Octal	0o36547026
Hexadecimal	0x7ACE16

Divisor Catalog (24)

1 2 5 10 11 22 25 50 55 110 275 550 14,633 29,266 73,165 146,330 160,963 321,926 365,825 731,650 804,815 1,609,630 4,024,075 8,048,150

Collatz Trajectory (93 steps to reach 1)

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

8,048,150 4,024,075 12,072,226 6,036,113 18,108,340 9,054,170 4,527,085 13,581,256 6,790,628 3,395,314 1,697,657 5,092,972 2,546,486 1,273,243 3,819,730 1,909,865 5,729,596 2,864,798 1,432,399 4,297,198 2,148,599 6,445,798 3,222,899 9,668,698 4,834,349 14,503,048 7,251,524 3,625,762 1,812,881 5,438,644 2,719,322 1,359,661 4,078,984 2,039,492 1,019,746 509,873 1,529,620 764,810 382,405 1,147,216 573,608 286,804 143,402 71,701 215,104 107,552 53,776 26,888 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512

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