3,667,160

2³ × 5 × 7² × 1871

Starting at 3,667,160, the Collatz iteration reaches 1 after 203 steps. The first transition is 1833580; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 7^2 × 1871

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,603,360

Proper Divisor Sum 5,936,200

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3667159 ← → #3667201

Radix Representation

Decimal	3667160
Binary	1101111111010011011000 (22 bits)
Octal	0o15772330
Hexadecimal	0x37F4D8

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1,871 1,960 3,742 7,484 9,355 13,097 14,968 18,710 26,194 37,420 52,388 65,485 74,840 91,679 104,776 130,970 183,358 261,940 366,716 458,395 523,880 733,432 916,790 1,833,580 3,667,160

Collatz Trajectory (203 steps to reach 1)

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

3,667,160 1,833,580 916,790 458,395 1,375,186 687,593 2,062,780 1,031,390 515,695 1,547,086 773,543 2,320,630 1,160,315 3,480,946 1,740,473 5,221,420 2,610,710 1,305,355 3,916,066 1,958,033 5,874,100 2,937,050 1,468,525 4,405,576 2,202,788 1,101,394 550,697 1,652,092 826,046 413,023 1,239,070 619,535 1,858,606 929,303 2,787,910 1,393,955 4,181,866 2,090,933 6,272,800 3,136,400 1,568,200 784,100 392,050 196,025 588,076 294,038 147,019 441,058 220,529 661,588 330,794 165,397 496,192 248,096 124,048 62,024 31,012 15,506 7,753 23,260

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