28,480,084

2² × 37 × 199 × 967

28,480,084 factors as 2^2 × 37 × 199 × 967. Its 24 positive divisors give a proper-divisor sum of 23,017,516, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^2 × 37 × 199 × 967

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 51,497,600

Proper Divisor Sum 23,017,516

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #28480079 ← → #28480091

Radix Representation

Decimal	28480084
Binary	1101100101001001001010100 (25 bits)
Octal	0o154511124
Hexadecimal	0x1B29254

Divisor Catalog (24)

Collatz Trajectory (193 steps to reach 1)

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

28,480,084 14,240,042 7,120,021 21,360,064 10,680,032 5,340,016 2,670,008 1,335,004 667,502 333,751 1,001,254 500,627 1,501,882 750,941 2,252,824 1,126,412 563,206 281,603 844,810 422,405 1,267,216 633,608 316,804 158,402 79,201 237,604 118,802 59,401 178,204 89,102 44,551 133,654 66,827 200,482 100,241 300,724 150,362 75,181 225,544 112,772 56,386 28,193 84,580 42,290 21,145 63,436 31,718 15,859 47,578 23,789 71,368 35,684 17,842 8,921 26,764 13,382 6,691 20,074 10,037 30,112

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