2,632,764

2² × 3 × 23 × 9539

2,632,764 factors as 2^2 × 3 × 23 × 9539. Its 24 positive divisors give a proper-divisor sum of 3,778,116, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 9539

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,410,880

Proper Divisor Sum 3,778,116

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2632759 ← → #2632781

Radix Representation

Decimal	2632764
Binary	1010000010110000111100 (22 bits)
Octal	0o12026074
Hexadecimal	0x282C3C

Divisor Catalog (24)

Collatz Trajectory (94 steps to reach 1)

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

2,632,764 1,316,382 658,191 1,974,574 987,287 2,961,862 1,480,931 4,442,794 2,221,397 6,664,192 3,332,096 1,666,048 833,024 416,512 208,256 104,128 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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