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Atlas › Integer Profiles › Node 2,805,280

2,805,280

25 × 5 × 89 × 197
Abundant Even Composite

2,805,280 factors as 2^5 × 5 × 89 × 197. Its 48 positive divisors give a proper-divisor sum of 3,930,680, so this integer is abundant. The Collatz stopping time is 50 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 89 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,735,960
Proper Divisor Sum 3,930,680
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2805263 ← → #2805311

Radix Representation

Decimal 2805280
Binary 1010101100111000100000 (22 bits)
Octal 0o12547040
Hexadecimal 0x2ACE20

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 89 160 178 197 356 394 445 712 788 890 985 1,424 1,576 1,780 1,970 2,848 3,152 3,560 3,940 6,304 7,120 7,880 14,240 15,760 17,533 31,520 35,066 70,132 87,665 140,264 175,330 280,528 350,660 561,056 701,320 1,402,640 2,805,280

Collatz Trajectory (50 steps to reach 1)

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

2,805,280 1,402,640 701,320 350,660 175,330 87,665 262,996 131,498 65,749 197,248 98,624 49,312 24,656 12,328 6,164 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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