3,507,138

2 × 3⁴ × 21649

Starting at 3,507,138, the Collatz iteration reaches 1 after 146 steps. The first transition is 1753569; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 21649

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 7,858,950

Proper Divisor Sum 4,351,812

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3507113 ← → #3507143

Radix Representation

Decimal	3507138
Binary	1101011000001111000010 (22 bits)
Octal	0o15301702
Hexadecimal	0x3583C2

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 21,649 43,298 64,947 129,894 194,841 389,682 584,523 1,169,046 1,753,569 3,507,138

Collatz Trajectory (146 steps to reach 1)

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

3,507,138 1,753,569 5,260,708 2,630,354 1,315,177 3,945,532 1,972,766 986,383 2,959,150 1,479,575 4,438,726 2,219,363 6,658,090 3,329,045 9,987,136 4,993,568 2,496,784 1,248,392 624,196 312,098 156,049 468,148 234,074 117,037 351,112 175,556 87,778 43,889 131,668 65,834 32,917 98,752 49,376 24,688 12,344 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620

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