2,609,270

2 × 5 × 19 × 31 × 443

Starting at 2,609,270, the Collatz iteration reaches 1 after 156 steps. The first transition is 1304635; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 31 × 443

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,114,880

Proper Divisor Sum 2,505,610

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2609267 ← → #2609287

Radix Representation

Decimal	2609270
Binary	1001111101000001110110 (22 bits)
Octal	0o11750166
Hexadecimal	0x27D076

Divisor Catalog (32)

1 2 5 10 19 31 38 62 95 155 190 310 443 589 886 1,178 2,215 2,945 4,430 5,890 8,417 13,733 16,834 27,466 42,085 68,665 84,170 137,330 260,927 521,854 1,304,635 2,609,270

Collatz Trajectory (156 steps to reach 1)

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

2,609,270 1,304,635 3,913,906 1,956,953 5,870,860 2,935,430 1,467,715 4,403,146 2,201,573 6,604,720 3,302,360 1,651,180 825,590 412,795 1,238,386 619,193 1,857,580 928,790 464,395 1,393,186 696,593 2,089,780 1,044,890 522,445 1,567,336 783,668 391,834 195,917 587,752 293,876 146,938 73,469 220,408 110,204 55,102 27,551 82,654 41,327 123,982 61,991 185,974 92,987 278,962 139,481 418,444 209,222 104,611 313,834 156,917 470,752 235,376 117,688 58,844 29,422 14,711 44,134 22,067 66,202 33,101 99,304

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