3,100,625

5⁴ × 11² × 41

Starting at 3,100,625, the Collatz iteration reaches 1 after 208 steps. The first transition is 9301876; the starting value is odd with 30 positive divisors.

Prime Factor Structure

Factorization String 5^4 × 11^2 × 41

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 4,362,666

Proper Divisor Sum 1,262,041

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #3100621 ← → #3100633

Radix Representation

Decimal	3100625
Binary	1011110100111111010001 (22 bits)
Octal	0o13647721
Hexadecimal	0x2F4FD1

Divisor Catalog (30)

1 5 11 25 41 55 121 125 205 275 451 605 625 1,025 1,375 2,255 3,025 4,961 5,125 6,875 11,275 15,125 24,805 25,625 56,375 75,625 124,025 281,875 620,125 3,100,625

Collatz Trajectory (208 steps to reach 1)

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

3,100,625 9,301,876 4,650,938 2,325,469 6,976,408 3,488,204 1,744,102 872,051 2,616,154 1,308,077 3,924,232 1,962,116 981,058 490,529 1,471,588 735,794 367,897 1,103,692 551,846 275,923 827,770 413,885 1,241,656 620,828 310,414 155,207 465,622 232,811 698,434 349,217 1,047,652 523,826 261,913 785,740 392,870 196,435 589,306 294,653 883,960 441,980 220,990 110,495 331,486 165,743 497,230 248,615 745,846 372,923 1,118,770 559,385 1,678,156 839,078 419,539 1,258,618 629,309 1,887,928 943,964 471,982 235,991 707,974

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