3,302,525

5² × 59 × 2239

Starting at 3,302,525, the Collatz iteration reaches 1 after 195 steps. The first transition is 9907576; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 59 × 2239

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,166,400

Proper Divisor Sum 863,875

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3302503 ← → #3302527

Radix Representation

Decimal	3302525
Binary	1100100110010001111101 (22 bits)
Octal	0o14462175
Hexadecimal	0x32647D

Divisor Catalog (12)

1 5 25 59 295 1,475 2,239 11,195 55,975 132,101 660,505 3,302,525

Collatz Trajectory (195 steps to reach 1)

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

3,302,525 9,907,576 4,953,788 2,476,894 1,238,447 3,715,342 1,857,671 5,573,014 2,786,507 8,359,522 4,179,761 12,539,284 6,269,642 3,134,821 9,404,464 4,702,232 2,351,116 1,175,558 587,779 1,763,338 881,669 2,645,008 1,322,504 661,252 330,626 165,313 495,940 247,970 123,985 371,956 185,978 92,989 278,968 139,484 69,742 34,871 104,614 52,307 156,922 78,461 235,384 117,692 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108

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