λ
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2,807,380

22 × 5 × 17 × 23 × 359
Abundant Even Composite

2,807,380 factors as 2^2 × 5 × 17 × 23 × 359. Its 48 positive divisors give a proper-divisor sum of 3,724,460, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 23 × 359
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,531,840
Proper Divisor Sum 3,724,460
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2807369 ← → #2807381

Radix Representation

Decimal 2807380
Binary 1010101101011001010100 (22 bits)
Octal 0o12553124
Hexadecimal 0x2AD654

Divisor Catalog (48)

1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 359 391 460 718 782 1,436 1,564 1,795 1,955 3,590 3,910 6,103 7,180 7,820 8,257 12,206 16,514 24,412 30,515 33,028 41,285 61,030 82,570 122,060 140,369 165,140 280,738 561,476 701,845 1,403,690 2,807,380

Collatz Trajectory (125 steps to reach 1)

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

2,807,380 1,403,690 701,845 2,105,536 1,052,768 526,384 263,192 131,596 65,798 32,899 98,698 49,349 148,048 74,024 37,012 18,506 9,253 27,760 13,880 6,940 3,470 1,735 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

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