6,632,325

3² × 5² × 7 × 4211

Starting at 6,632,325, the Collatz iteration reaches 1 after 240 steps. The first transition is 19896976; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 7 × 4211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 13,579,488

Proper Divisor Sum 6,947,163

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6632317 ← → #6632333

Radix Representation

Decimal	6632325
Binary	11001010011001110000101 (23 bits)
Octal	0o31231605
Hexadecimal	0x653385

Divisor Catalog (36)

1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1,575 4,211 12,633 21,055 29,477 37,899 63,165 88,431 105,275 147,385 189,495 265,293 315,825 442,155 736,925 947,475 1,326,465 2,210,775 6,632,325

Collatz Trajectory (240 steps to reach 1)

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

6,632,325 19,896,976 9,948,488 4,974,244 2,487,122 1,243,561 3,730,684 1,865,342 932,671 2,798,014 1,399,007 4,197,022 2,098,511 6,295,534 3,147,767 9,443,302 4,721,651 14,164,954 7,082,477 21,247,432 10,623,716 5,311,858 2,655,929 7,967,788 3,983,894 1,991,947 5,975,842 2,987,921 8,963,764 4,481,882 2,240,941 6,722,824 3,361,412 1,680,706 840,353 2,521,060 1,260,530 630,265 1,890,796 945,398 472,699 1,418,098 709,049 2,127,148 1,063,574 531,787 1,595,362 797,681 2,393,044 1,196,522 598,261 1,794,784 897,392 448,696 224,348 112,174 56,087 168,262 84,131 252,394

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