3,875,575

5² × 11 × 17 × 829

Starting at 3,875,575, the Collatz iteration reaches 1 after 185 steps. The first transition is 11626726; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 11 × 17 × 829

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,557,680

Proper Divisor Sum 1,682,105

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3875567 ← → #3875591

Radix Representation

Decimal	3875575
Binary	1110110010001011110111 (22 bits)
Octal	0o16621367
Hexadecimal	0x3B22F7

Divisor Catalog (24)

1 5 11 17 25 55 85 187 275 425 829 935 4,145 4,675 9,119 14,093 20,725 45,595 70,465 155,023 227,975 352,325 775,115 3,875,575

Collatz Trajectory (185 steps to reach 1)

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

3,875,575 11,626,726 5,813,363 17,440,090 8,720,045 26,160,136 13,080,068 6,540,034 3,270,017 9,810,052 4,905,026 2,452,513 7,357,540 3,678,770 1,839,385 5,518,156 2,759,078 1,379,539 4,138,618 2,069,309 6,207,928 3,103,964 1,551,982 775,991 2,327,974 1,163,987 3,491,962 1,745,981 5,237,944 2,618,972 1,309,486 654,743 1,964,230 982,115 2,946,346 1,473,173 4,419,520 2,209,760 1,104,880 552,440 276,220 138,110 69,055 207,166 103,583 310,750 155,375 466,126 233,063 699,190 349,595 1,048,786 524,393 1,573,180 786,590 393,295 1,179,886 589,943 1,769,830 884,915

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