λ
Integer Codex

2,628,666

2 × 33 × 48679
Abundant Even Composite

For 2,628,666, the 16 positive divisors have a total of 5,841,600. Removing 2,628,666 leaves 3,212,934, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^3 × 48679
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,841,600
Proper Divisor Sum 3,212,934
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2628649 ← → #2628667

Radix Representation

Decimal 2628666
Binary 1010000001110000111010 (22 bits)
Octal 0o12016072
Hexadecimal 0x281C3A

Divisor Catalog (16)

1 2 3 6 9 18 27 54 48,679 97,358 146,037 292,074 438,111 876,222 1,314,333 2,628,666

Collatz Trajectory (156 steps to reach 1)

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

2,628,666 1,314,333 3,943,000 1,971,500 985,750 492,875 1,478,626 739,313 2,217,940 1,108,970 554,485 1,663,456 831,728 415,864 207,932 103,966 51,983 155,950 77,975 233,926 116,963 350,890 175,445 526,336 263,168 131,584 65,792 32,896 16,448 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484

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