3,009,210

2 × 3 × 5 × 37 × 2711

Starting at 3,009,210, the Collatz iteration reaches 1 after 319 steps. The first transition is 1504605; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 37 × 2711

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,420,032

Proper Divisor Sum 4,410,822

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #3009203 ← → #3009233

Radix Representation

Decimal	3009210
Binary	1011011110101010111010 (22 bits)
Octal	0o13365272
Hexadecimal	0x2DEABA

Divisor Catalog (32)

1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1,110 2,711 5,422 8,133 13,555 16,266 27,110 40,665 81,330 100,307 200,614 300,921 501,535 601,842 1,003,070 1,504,605 3,009,210

Collatz Trajectory (319 steps to reach 1)

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

3,009,210 1,504,605 4,513,816 2,256,908 1,128,454 564,227 1,692,682 846,341 2,539,024 1,269,512 634,756 317,378 158,689 476,068 238,034 119,017 357,052 178,526 89,263 267,790 133,895 401,686 200,843 602,530 301,265 903,796 451,898 225,949 677,848 338,924 169,462 84,731 254,194 127,097 381,292 190,646 95,323 285,970 142,985 428,956 214,478 107,239 321,718 160,859 482,578 241,289 723,868 361,934 180,967 542,902 271,451 814,354 407,177 1,221,532 610,766 305,383 916,150 458,075 1,374,226 687,113

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