5,944,188

2² × 3 × 19 × 29² × 31

Starting at 5,944,188, the Collatz iteration reaches 1 after 183 steps. The first transition is 2972094; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 29^2 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 15,608,320

Proper Divisor Sum 9,664,132

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5944187 ← → #5944193

Radix Representation

Decimal	5944188
Binary	10110101011001101111100 (23 bits)
Octal	0o26531574
Hexadecimal	0x5AB37C

Divisor Catalog (60 of 72)

1 2 3 4 6 12 19 29 31 38 57 58 62 76 87 93 114 116 124 174 186 228 348 372 551 589 841 899 1,102 1,178 1,653 1,682 1,767 1,798 2,204 2,356 2,523 2,697 3,306 3,364 3,534 3,596 5,046 5,394 6,612 7,068 10,092 10,788 15,979 17,081 26,071 31,958 34,162 47,937 51,243 52,142 63,916 68,324 78,213 95,874

Collatz Trajectory (183 steps to reach 1)

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

5,944,188 2,972,094 1,486,047 4,458,142 2,229,071 6,687,214 3,343,607 10,030,822 5,015,411 15,046,234 7,523,117 22,569,352 11,284,676 5,642,338 2,821,169 8,463,508 4,231,754 2,115,877 6,347,632 3,173,816 1,586,908 793,454 396,727 1,190,182 595,091 1,785,274 892,637 2,677,912 1,338,956 669,478 334,739 1,004,218 502,109 1,506,328 753,164 376,582 188,291 564,874 282,437 847,312 423,656 211,828 105,914 52,957 158,872 79,436 39,718 19,859 59,578 29,789 89,368 44,684 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284

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