4,190,296

2³ × 11 × 17 × 2801

Starting at 4,190,296, the Collatz iteration reaches 1 after 136 steps. The first transition is 2095148; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 17 × 2801

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,078,480

Proper Divisor Sum 4,888,184

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4190293 ← → #4190299

Radix Representation

Decimal	4190296
Binary	1111111111000001011000 (22 bits)
Octal	0o17770130
Hexadecimal	0x3FF058

Divisor Catalog (32)

1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1,496 2,801 5,602 11,204 22,408 30,811 47,617 61,622 95,234 123,244 190,468 246,488 380,936 523,787 1,047,574 2,095,148 4,190,296

Collatz Trajectory (136 steps to reach 1)

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

4,190,296 2,095,148 1,047,574 523,787 1,571,362 785,681 2,357,044 1,178,522 589,261 1,767,784 883,892 441,946 220,973 662,920 331,460 165,730 82,865 248,596 124,298 62,149 186,448 93,224 46,612 23,306 11,653 34,960 17,480 8,740 4,370 2,185 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608

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