2,642,610

2 × 3 × 5 × 59 × 1493

Starting at 2,642,610, the Collatz iteration reaches 1 after 125 steps. The first transition is 1321305; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 59 × 1493

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,454,080

Proper Divisor Sum 3,811,470

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2642609 ← → #2642621

Radix Representation

Decimal	2642610
Binary	1010000101001010110010 (22 bits)
Octal	0o12051262
Hexadecimal	0x2852B2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1,493 1,770 2,986 4,479 7,465 8,958 14,930 22,395 44,790 88,087 176,174 264,261 440,435 528,522 880,870 1,321,305 2,642,610

Collatz Trajectory (125 steps to reach 1)

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

2,642,610 1,321,305 3,963,916 1,981,958 990,979 2,972,938 1,486,469 4,459,408 2,229,704 1,114,852 557,426 278,713 836,140 418,070 209,035 627,106 313,553 940,660 470,330 235,165 705,496 352,748 176,374 88,187 264,562 132,281 396,844 198,422 99,211 297,634 148,817 446,452 223,226 111,613 334,840 167,420 83,710 41,855 125,566 62,783 188,350 94,175 282,526 141,263 423,790 211,895 635,686 317,843 953,530 476,765 1,430,296 715,148 357,574 178,787 536,362 268,181 804,544 402,272 201,136 100,568

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