5,855,150

2 × 5² × 7 × 16729

Starting at 5,855,150, the Collatz iteration reaches 1 after 126 steps. The first transition is 2927575; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 16729

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,447,120

Proper Divisor Sum 6,591,970

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #5855149 ← → #5855159

Radix Representation

Decimal	5855150
Binary	10110010101011110101110 (23 bits)
Octal	0o26253656
Hexadecimal	0x5957AE

Divisor Catalog (24)

1 2 5 7 10 14 25 35 50 70 175 350 16,729 33,458 83,645 117,103 167,290 234,206 418,225 585,515 836,450 1,171,030 2,927,575 5,855,150

Collatz Trajectory (126 steps to reach 1)

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

5,855,150 2,927,575 8,782,726 4,391,363 13,174,090 6,587,045 19,761,136 9,880,568 4,940,284 2,470,142 1,235,071 3,705,214 1,852,607 5,557,822 2,778,911 8,336,734 4,168,367 12,505,102 6,252,551 18,757,654 9,378,827 28,136,482 14,068,241 42,204,724 21,102,362 10,551,181 31,653,544 15,826,772 7,913,386 3,956,693 11,870,080 5,935,040 2,967,520 1,483,760 741,880 370,940 185,470 92,735 278,206 139,103 417,310 208,655 625,966 312,983 938,950 469,475 1,408,426 704,213 2,112,640 1,056,320 528,160 264,080 132,040 66,020 33,010 16,505 49,516 24,758 12,379 37,138

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