2,048,525

5² × 67 × 1223

Starting at 2,048,525, the Collatz iteration reaches 1 after 189 steps. The first transition is 6145576; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 67 × 1223

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,580,192

Proper Divisor Sum 531,667

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2048521 ← → #2048533

Radix Representation

Decimal	2048525
Binary	111110100001000001101 (21 bits)
Octal	0o7641015
Hexadecimal	0x1F420D

Divisor Catalog (12)

1 5 25 67 335 1,223 1,675 6,115 30,575 81,941 409,705 2,048,525

Collatz Trajectory (189 steps to reach 1)

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

2,048,525 6,145,576 3,072,788 1,536,394 768,197 2,304,592 1,152,296 576,148 288,074 144,037 432,112 216,056 108,028 54,014 27,007 81,022 40,511 121,534 60,767 182,302 91,151 273,454 136,727 410,182 205,091 615,274 307,637 922,912 461,456 230,728 115,364 57,682 28,841 86,524 43,262 21,631 64,894 32,447 97,342 48,671 146,014 73,007 219,022 109,511 328,534 164,267 492,802 246,401 739,204 369,602 184,801 554,404 277,202 138,601 415,804 207,902 103,951 311,854 155,927 467,782

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