3,681,090

2 × 3² × 5 × 7 × 5843

Starting at 3,681,090, the Collatz iteration reaches 1 after 159 steps. The first transition is 1840545; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 5843

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,939,968

Proper Divisor Sum 7,258,878

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3681059 ← → #3681113

Radix Representation

Decimal	3681090
Binary	1110000010101101000010 (22 bits)
Octal	0o16025502
Hexadecimal	0x382B42

Divisor Catalog (48)

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 5,843 11,686 17,529 29,215 35,058 40,901 52,587 58,430 81,802 87,645 105,174 122,703 175,290 204,505 245,406 262,935 368,109 409,010 525,870 613,515 736,218 1,227,030 1,840,545 3,681,090

Collatz Trajectory (159 steps to reach 1)

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

3,681,090 1,840,545 5,521,636 2,760,818 1,380,409 4,141,228 2,070,614 1,035,307 3,105,922 1,552,961 4,658,884 2,329,442 1,164,721 3,494,164 1,747,082 873,541 2,620,624 1,310,312 655,156 327,578 163,789 491,368 245,684 122,842 61,421 184,264 92,132 46,066 23,033 69,100 34,550 17,275 51,826 25,913 77,740 38,870 19,435 58,306 29,153 87,460 43,730 21,865 65,596 32,798 16,399 49,198 24,599 73,798 36,899 110,698 55,349 166,048 83,024 41,512 20,756 10,378 5,189 15,568 7,784 3,892

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