4,012,144

2⁴ × 31 × 8089

Starting at 4,012,144, the Collatz iteration reaches 1 after 66 steps. The first transition is 2006072; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 31 × 8089

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 8,025,280

Proper Divisor Sum 4,013,136

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #4012133 ← → #4012147

Radix Representation

Decimal	4012144
Binary	1111010011100001110000 (22 bits)
Octal	0o17234160
Hexadecimal	0x3D3870

Divisor Catalog (20)

1 2 4 8 16 31 62 124 248 496 8,089 16,178 32,356 64,712 129,424 250,759 501,518 1,003,036 2,006,072 4,012,144

Collatz Trajectory (66 steps to reach 1)

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

4,012,144 2,006,072 1,003,036 501,518 250,759 752,278 376,139 1,128,418 564,209 1,692,628 846,314 423,157 1,269,472 634,736 317,368 158,684 79,342 39,671 119,014 59,507 178,522 89,261 267,784 133,892 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488 28,244 14,122 7,061 21,184 10,592 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20

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