λ
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2,632,728

23 × 3 × 7 × 15671
Abundant Even Composite

2,632,728 factors as 2^3 × 3 × 7 × 15671. Its 32 positive divisors give a proper-divisor sum of 4,889,832, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 15671
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,522,560
Proper Divisor Sum 4,889,832
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2632727 ← → #2632759

Radix Representation

Decimal 2632728
Binary 1010000010110000011000 (22 bits)
Octal 0o12026030
Hexadecimal 0x282C18

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 15,671 31,342 47,013 62,684 94,026 109,697 125,368 188,052 219,394 329,091 376,104 438,788 658,182 877,576 1,316,364 2,632,728

Collatz Trajectory (94 steps to reach 1)

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

2,632,728 1,316,364 658,182 329,091 987,274 493,637 1,480,912 740,456 370,228 185,114 92,557 277,672 138,836 69,418 34,709 104,128 52,064 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794

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