3,302,381

127 × 26003

Starting at 3,302,381, the Collatz iteration reaches 1 after 164 steps. The first transition is 9907144; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 127 × 26003

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 3,328,512

Proper Divisor Sum 26,131

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3302359 ← → #3302389

Radix Representation

Decimal	3302381
Binary	1100100110001111101101 (22 bits)
Octal	0o14461755
Hexadecimal	0x3263ED

Divisor Catalog (4)

1 127 26,003 3,302,381

Collatz Trajectory (164 steps to reach 1)

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

3,302,381 9,907,144 4,953,572 2,476,786 1,238,393 3,715,180 1,857,590 928,795 2,786,386 1,393,193 4,179,580 2,089,790 1,044,895 3,134,686 1,567,343 4,702,030 2,351,015 7,053,046 3,526,523 10,579,570 5,289,785 15,869,356 7,934,678 3,967,339 11,902,018 5,951,009 17,853,028 8,926,514 4,463,257 13,389,772 6,694,886 3,347,443 10,042,330 5,021,165 15,063,496 7,531,748 3,765,874 1,882,937 5,648,812 2,824,406 1,412,203 4,236,610 2,118,305 6,354,916 3,177,458 1,588,729 4,766,188 2,383,094 1,191,547 3,574,642 1,787,321 5,361,964 2,680,982 1,340,491 4,021,474 2,010,737 6,032,212 3,016,106 1,508,053 4,524,160

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