4,186,749

3 × 7 × 193 × 1033

Starting at 4,186,749, the Collatz iteration reaches 1 after 136 steps. The first transition is 12560248; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 193 × 1033

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,419,072

Proper Divisor Sum 2,232,323

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4186747 ← → #4186771

Radix Representation

Decimal	4186749
Binary	1111111110001001111101 (22 bits)
Octal	0o17761175
Hexadecimal	0x3FE27D

Divisor Catalog (16)

1 3 7 21 193 579 1,033 1,351 3,099 4,053 7,231 21,693 199,369 598,107 1,395,583 4,186,749

Collatz Trajectory (136 steps to reach 1)

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

4,186,749 12,560,248 6,280,124 3,140,062 1,570,031 4,710,094 2,355,047 7,065,142 3,532,571 10,597,714 5,298,857 15,896,572 7,948,286 3,974,143 11,922,430 5,961,215 17,883,646 8,941,823 26,825,470 13,412,735 40,238,206 20,119,103 60,357,310 30,178,655 90,535,966 45,267,983 135,803,950 67,901,975 203,705,926 101,852,963 305,558,890 152,779,445 458,338,336 229,169,168 114,584,584 57,292,292 28,646,146 14,323,073 42,969,220 21,484,610 10,742,305 32,226,916 16,113,458 8,056,729 24,170,188 12,085,094 6,042,547 18,127,642 9,063,821 27,191,464 13,595,732 6,797,866 3,398,933 10,196,800 5,098,400 2,549,200 1,274,600 637,300 318,650 159,325

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