3,745,136

2⁴ × 23 × 10177

3,745,136 factors as 2^4 × 23 × 10177. Its 20 positive divisors give a proper-divisor sum of 3,827,296, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 10177

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 7,572,432

Proper Divisor Sum 3,827,296

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3745129 ← → #3745163

Radix Representation

Decimal	3745136
Binary	1110010010010101110000 (22 bits)
Octal	0o16222560
Hexadecimal	0x392570

Divisor Catalog (20)

Collatz Trajectory (203 steps to reach 1)

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

3,745,136 1,872,568 936,284 468,142 234,071 702,214 351,107 1,053,322 526,661 1,579,984 789,992 394,996 197,498 98,749 296,248 148,124 74,062 37,031 111,094 55,547 166,642 83,321 249,964 124,982 62,491 187,474 93,737 281,212 140,606 70,303 210,910 105,455 316,366 158,183 474,550 237,275 711,826 355,913 1,067,740 533,870 266,935 800,806 400,403 1,201,210 600,605 1,801,816 900,908 450,454 225,227 675,682 337,841 1,013,524 506,762 253,381 760,144 380,072 190,036 95,018 47,509 142,528

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