2,538,672

2⁴ × 3 × 52889

2,538,672 factors as 2^4 × 3 × 52889. Its 20 positive divisors give a proper-divisor sum of 4,019,688, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 52889

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 6,558,360

Proper Divisor Sum 4,019,688

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2538667 ← → #2538673

Radix Representation

Decimal	2538672
Binary	1001101011110010110000 (22 bits)
Octal	0o11536260
Hexadecimal	0x26BCB0

Divisor Catalog (20)

Collatz Trajectory (174 steps to reach 1)

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

2,538,672 1,269,336 634,668 317,334 158,667 476,002 238,001 714,004 357,002 178,501 535,504 267,752 133,876 66,938 33,469 100,408 50,204 25,102 12,551 37,654 18,827 56,482 28,241 84,724 42,362 21,181 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449

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