1,682,721

3³ × 62323

Starting at 1,682,721, the Collatz iteration reaches 1 after 220 steps. The first transition is 5048164; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 62323

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,492,960

Proper Divisor Sum 810,239

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1682717 ← → #1682753

Radix Representation

Decimal	1682721
Binary	110011010110100100001 (21 bits)
Octal	0o6326441
Hexadecimal	0x19AD21

Divisor Catalog (8)

1 3 9 27 62,323 186,969 560,907 1,682,721

Collatz Trajectory (220 steps to reach 1)

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

1,682,721 5,048,164 2,524,082 1,262,041 3,786,124 1,893,062 946,531 2,839,594 1,419,797 4,259,392 2,129,696 1,064,848 532,424 266,212 133,106 66,553 199,660 99,830 49,915 149,746 74,873 224,620 112,310 56,155 168,466 84,233 252,700 126,350 63,175 189,526 94,763 284,290 142,145 426,436 213,218 106,609 319,828 159,914 79,957 239,872 119,936 59,968 29,984 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690

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