2,848,482

2 × 3² × 7 × 13 × 37 × 47

2,848,482 factors as 2 × 3^2 × 7 × 13 × 37 × 47. Its 96 positive divisors give a proper-divisor sum of 5,118,750, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 13 × 37 × 47

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 7,967,232

Proper Divisor Sum 5,118,750

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2848471 ← → #2848493

Radix Representation

Decimal	2848482
Binary	1010110111011011100010 (22 bits)
Octal	0o12673342
Hexadecimal	0x2B76E2

Divisor Catalog (60 of 96)

1 2 3 6 7 9 13 14 18 21 26 37 39 42 47 63 74 78 91 94 111 117 126 141 182 222 234 259 273 282 329 333 423 481 518 546 611 658 666 777 819 846 962 987 1,222 1,443 1,554 1,638 1,739 1,833 1,974 2,331 2,886 2,961 3,367 3,478 3,666 4,277 4,329 4,662

Collatz Trajectory (76 steps to reach 1)

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

2,848,482 1,424,241 4,272,724 2,136,362 1,068,181 3,204,544 1,602,272 801,136 400,568 200,284 100,142 50,071 150,214 75,107 225,322 112,661 337,984 168,992 84,496 42,248 21,124 10,562 5,281 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14

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