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Atlas › Integer Profiles › Node 2,543,988

2,543,988

22 × 3 × 101 × 2099
Abundant Even Composite

2,543,988 factors as 2^2 × 3 × 101 × 2099. Its 24 positive divisors give a proper-divisor sum of 3,453,612, so this integer is abundant. The Collatz stopping time is 55 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 101 × 2099
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,997,600
Proper Divisor Sum 3,453,612
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2543971 ← → #2544011

Radix Representation

Decimal 2543988
Binary 1001101101000101110100 (22 bits)
Octal 0o11550564
Hexadecimal 0x26D174

Divisor Catalog (24)

1 2 3 4 6 12 101 202 303 404 606 1,212 2,099 4,198 6,297 8,396 12,594 25,188 211,999 423,998 635,997 847,996 1,271,994 2,543,988

Collatz Trajectory (55 steps to reach 1)

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

2,543,988 1,271,994 635,997 1,907,992 953,996 476,998 238,499 715,498 357,749 1,073,248 536,624 268,312 134,156 67,078 33,539 100,618 50,309 150,928 75,464 37,732 18,866 9,433 28,300 14,150 7,075 21,226 10,613 31,840 15,920 7,960 3,980 1,990 995 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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