5,788,666

2 × 13 × 67 × 3323

Starting at 5,788,666, the Collatz iteration reaches 1 after 121 steps. The first transition is 2894333; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 67 × 3323

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,493,344

Proper Divisor Sum 3,704,678

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #5788639 ← → #5788693

Radix Representation

Decimal	5788666
Binary	10110000101001111111010 (23 bits)
Octal	0o26051772
Hexadecimal	0x5853FA

Divisor Catalog (16)

1 2 13 26 67 134 871 1,742 3,323 6,646 43,199 86,398 222,641 445,282 2,894,333 5,788,666

Collatz Trajectory (121 steps to reach 1)

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

5,788,666 2,894,333 8,683,000 4,341,500 2,170,750 1,085,375 3,256,126 1,628,063 4,884,190 2,442,095 7,326,286 3,663,143 10,989,430 5,494,715 16,484,146 8,242,073 24,726,220 12,363,110 6,181,555 18,544,666 9,272,333 27,817,000 13,908,500 6,954,250 3,477,125 10,431,376 5,215,688 2,607,844 1,303,922 651,961 1,955,884 977,942 488,971 1,466,914 733,457 2,200,372 1,100,186 550,093 1,650,280 825,140 412,570 206,285 618,856 309,428 154,714 77,357 232,072 116,036 58,018 29,009 87,028 43,514 21,757 65,272 32,636 16,318 8,159 24,478 12,239 36,718

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