4,011,133

7 × 17 × 37 × 911

Starting at 4,011,133, the Collatz iteration reaches 1 after 66 steps. The first transition is 12033400; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 17 × 37 × 911

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,990,464

Proper Divisor Sum 979,331

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #4011127 ← → #4011157

Radix Representation

Decimal	4011133
Binary	1111010011010001111101 (22 bits)
Octal	0o17232175
Hexadecimal	0x3D347D

Divisor Catalog (16)

1 7 17 37 119 259 629 911 4,403 6,377 15,487 33,707 108,409 235,949 573,019 4,011,133

Collatz Trajectory (66 steps to reach 1)

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

4,011,133 12,033,400 6,016,700 3,008,350 1,504,175 4,512,526 2,256,263 6,768,790 3,384,395 10,153,186 5,076,593 15,229,780 7,614,890 3,807,445 11,422,336 5,711,168 2,855,584 1,427,792 713,896 356,948 178,474 89,237 267,712 133,856 66,928 33,464 16,732 8,366 4,183 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 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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