λ
Sequence Observatory

5,580,140

22 × 5 × 279007
Abundant Even Composite

Starting at 5,580,140, the Collatz iteration reaches 1 after 139 steps. The first transition is 2790070; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 279007
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,718,336
Proper Divisor Sum 6,138,196
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5580137 ← → #5580143

Radix Representation

Decimal 5580140
Binary 10101010010010101101100 (23 bits)
Octal 0o25222554
Hexadecimal 0x55256C

Divisor Catalog (12)

1 2 4 5 10 20 279,007 558,014 1,116,028 1,395,035 2,790,070 5,580,140

Collatz Trajectory (139 steps to reach 1)

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

5,580,140 2,790,070 1,395,035 4,185,106 2,092,553 6,277,660 3,138,830 1,569,415 4,708,246 2,354,123 7,062,370 3,531,185 10,593,556 5,296,778 2,648,389 7,945,168 3,972,584 1,986,292 993,146 496,573 1,489,720 744,860 372,430 186,215 558,646 279,323 837,970 418,985 1,256,956 628,478 314,239 942,718 471,359 1,414,078 707,039 2,121,118 1,060,559 3,181,678 1,590,839 4,772,518 2,386,259 7,158,778 3,579,389 10,738,168 5,369,084 2,684,542 1,342,271 4,026,814 2,013,407 6,040,222 3,020,111 9,060,334 4,530,167 13,590,502 6,795,251 20,385,754 10,192,877 30,578,632 15,289,316 7,644,658

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