2,053,341

3² × 337 × 677

Starting at 2,053,341, the Collatz iteration reaches 1 after 78 steps. The first transition is 6160024; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 337 × 677

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,979,132

Proper Divisor Sum 925,791

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2053339 ← → #2053357

Radix Representation

Decimal	2053341
Binary	111110101010011011101 (21 bits)
Octal	0o7652335
Hexadecimal	0x1F54DD

Divisor Catalog (12)

1 3 9 337 677 1,011 2,031 3,033 6,093 228,149 684,447 2,053,341

Collatz Trajectory (78 steps to reach 1)

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

2,053,341 6,160,024 3,080,012 1,540,006 770,003 2,310,010 1,155,005 3,465,016 1,732,508 866,254 433,127 1,299,382 649,691 1,949,074 974,537 2,923,612 1,461,806 730,903 2,192,710 1,096,355 3,289,066 1,644,533 4,933,600 2,466,800 1,233,400 616,700 308,350 154,175 462,526 231,263 693,790 346,895 1,040,686 520,343 1,561,030 780,515 2,341,546 1,170,773 3,512,320 1,756,160 878,080 439,040 219,520 109,760 54,880 27,440 13,720 6,860 3,430 1,715 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362

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