2,579,686

2 × 211 × 6113

Starting at 2,579,686, the Collatz iteration reaches 1 after 187 steps. The first transition is 1289843; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 211 × 6113

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,888,504

Proper Divisor Sum 1,308,818

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #2579683 ← → #2579693

Radix Representation

Decimal	2579686
Binary	1001110101110011100110 (22 bits)
Octal	0o11656346
Hexadecimal	0x275CE6

Divisor Catalog (8)

1 2 211 422 6,113 12,226 1,289,843 2,579,686

Collatz Trajectory (187 steps to reach 1)

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

2,579,686 1,289,843 3,869,530 1,934,765 5,804,296 2,902,148 1,451,074 725,537 2,176,612 1,088,306 544,153 1,632,460 816,230 408,115 1,224,346 612,173 1,836,520 918,260 459,130 229,565 688,696 344,348 172,174 86,087 258,262 129,131 387,394 193,697 581,092 290,546 145,273 435,820 217,910 108,955 326,866 163,433 490,300 245,150 122,575 367,726 183,863 551,590 275,795 827,386 413,693 1,241,080 620,540 310,270 155,135 465,406 232,703 698,110 349,055 1,047,166 523,583 1,570,750 785,375 2,356,126 1,178,063 3,534,190

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