4,013,128

2³ × 7 × 71663

Starting at 4,013,128, the Collatz iteration reaches 1 after 136 steps. The first transition is 2006564; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 71663

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,599,680

Proper Divisor Sum 4,586,552

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #4013111 ← → #4013153

Radix Representation

Decimal	4013128
Binary	1111010011110001001000 (22 bits)
Octal	0o17236110
Hexadecimal	0x3D3C48

Divisor Catalog (16)

1 2 4 7 8 14 28 56 71,663 143,326 286,652 501,641 573,304 1,003,282 2,006,564 4,013,128

Collatz Trajectory (136 steps to reach 1)

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

4,013,128 2,006,564 1,003,282 501,641 1,504,924 752,462 376,231 1,128,694 564,347 1,693,042 846,521 2,539,564 1,269,782 634,891 1,904,674 952,337 2,857,012 1,428,506 714,253 2,142,760 1,071,380 535,690 267,845 803,536 401,768 200,884 100,442 50,221 150,664 75,332 37,666 18,833 56,500 28,250 14,125 42,376 21,188 10,594 5,297 15,892 7,946 3,973 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252

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