4,036,460

2² × 5 × 201823

Starting at 4,036,460, the Collatz iteration reaches 1 after 185 steps. The first transition is 2018230; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 201823

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,476,608

Proper Divisor Sum 4,440,148

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4036457 ← → #4036489

Radix Representation

Decimal	4036460
Binary	1111011001011101101100 (22 bits)
Octal	0o17313554
Hexadecimal	0x3D976C

Divisor Catalog (12)

1 2 4 5 10 20 201,823 403,646 807,292 1,009,115 2,018,230 4,036,460

Collatz Trajectory (185 steps to reach 1)

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

4,036,460 2,018,230 1,009,115 3,027,346 1,513,673 4,541,020 2,270,510 1,135,255 3,405,766 1,702,883 5,108,650 2,554,325 7,662,976 3,831,488 1,915,744 957,872 478,936 239,468 119,734 59,867 179,602 89,801 269,404 134,702 67,351 202,054 101,027 303,082 151,541 454,624 227,312 113,656 56,828 28,414 14,207 42,622 21,311 63,934 31,967 95,902 47,951 143,854 71,927 215,782 107,891 323,674 161,837 485,512 242,756 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604

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