3,754,580

2² × 5 × 227 × 827

3,754,580 factors as 2^2 × 5 × 227 × 827. Its 24 positive divisors give a proper-divisor sum of 4,174,348, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 227 × 827

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,928,928

Proper Divisor Sum 4,174,348

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3754577 ← → #3754607

Radix Representation

Decimal	3754580
Binary	1110010100101001010100 (22 bits)
Octal	0o16245124
Hexadecimal	0x394A54

Divisor Catalog (24)

Collatz Trajectory (128 steps to reach 1)

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

3,754,580 1,877,290 938,645 2,815,936 1,407,968 703,984 351,992 175,996 87,998 43,999 131,998 65,999 197,998 98,999 296,998 148,499 445,498 222,749 668,248 334,124 167,062 83,531 250,594 125,297 375,892 187,946 93,973 281,920 140,960 70,480 35,240 17,620 8,810 4,405 13,216 6,608 3,304 1,652 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668

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