5,789,016

2³ × 3³ × 26801

Starting at 5,789,016, the Collatz iteration reaches 1 after 69 steps. The first transition is 2894508; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 26801

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,081,200

Proper Divisor Sum 10,292,184

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5788987 ← → #5789029

Radix Representation

Decimal	5789016
Binary	10110000101010101011000 (23 bits)
Octal	0o26052530
Hexadecimal	0x585558

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 26,801 53,602 80,403 107,204 160,806 214,408 241,209 321,612 482,418 643,224 723,627 964,836 1,447,254 1,929,672 2,894,508 5,789,016

Collatz Trajectory (69 steps to reach 1)

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

5,789,016 2,894,508 1,447,254 723,627 2,170,882 1,085,441 3,256,324 1,628,162 814,081 2,442,244 1,221,122 610,561 1,831,684 915,842 457,921 1,373,764 686,882 343,441 1,030,324 515,162 257,581 772,744 386,372 193,186 96,593 289,780 144,890 72,445 217,336 108,668 54,334 27,167 81,502 40,751 122,254 61,127 183,382 91,691 275,074 137,537 412,612 206,306 103,153 309,460 154,730 77,365 232,096 116,048 58,024 29,012 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170

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