2,638,525

5² × 105541

Starting at 2,638,525, the Collatz iteration reaches 1 after 99 steps. The first transition is 7915576; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 105541

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,271,802

Proper Divisor Sum 633,277

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2638501 ← → #2638529

Radix Representation

Decimal	2638525
Binary	1010000100001010111101 (22 bits)
Octal	0o12041275
Hexadecimal	0x2842BD

Divisor Catalog (6)

1 5 25 105,541 527,705 2,638,525

Collatz Trajectory (99 steps to reach 1)

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

2,638,525 7,915,576 3,957,788 1,978,894 989,447 2,968,342 1,484,171 4,452,514 2,226,257 6,678,772 3,339,386 1,669,693 5,009,080 2,504,540 1,252,270 626,135 1,878,406 939,203 2,817,610 1,408,805 4,226,416 2,113,208 1,056,604 528,302 264,151 792,454 396,227 1,188,682 594,341 1,783,024 891,512 445,756 222,878 111,439 334,318 167,159 501,478 250,739 752,218 376,109 1,128,328 564,164 282,082 141,041 423,124 211,562 105,781 317,344 158,672 79,336 39,668 19,834 9,917 29,752 14,876 7,438 3,719 11,158 5,579 16,738

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