2,655,166

2 × 23 × 197 × 293

Starting at 2,655,166, the Collatz iteration reaches 1 after 293 steps. The first transition is 1327583; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 23 × 197 × 293

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,191,264

Proper Divisor Sum 1,536,098

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2655151 ← → #2655167

Radix Representation

Decimal	2655166
Binary	1010001000001110111110 (22 bits)
Octal	0o12101676
Hexadecimal	0x2883BE

Divisor Catalog (16)

1 2 23 46 197 293 394 586 4,531 6,739 9,062 13,478 57,721 115,442 1,327,583 2,655,166

Collatz Trajectory (293 steps to reach 1)

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

2,655,166 1,327,583 3,982,750 1,991,375 5,974,126 2,987,063 8,961,190 4,480,595 13,441,786 6,720,893 20,162,680 10,081,340 5,040,670 2,520,335 7,561,006 3,780,503 11,341,510 5,670,755 17,012,266 8,506,133 25,518,400 12,759,200 6,379,600 3,189,800 1,594,900 797,450 398,725 1,196,176 598,088 299,044 149,522 74,761 224,284 112,142 56,071 168,214 84,107 252,322 126,161 378,484 189,242 94,621 283,864 141,932 70,966 35,483 106,450 53,225 159,676 79,838 39,919 119,758 59,879 179,638 89,819 269,458 134,729 404,188 202,094 101,047

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