2,102,331

3 × 7 × 11 × 19 × 479

Starting at 2,102,331, the Collatz iteration reaches 1 after 241 steps. The first transition is 6306994; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 19 × 479

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,686,400

Proper Divisor Sum 1,584,069

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #2102329 ← → #2102341

Radix Representation

Decimal	2102331
Binary	1000000001010000111011 (22 bits)
Octal	0o10012073
Hexadecimal	0x20143B

Divisor Catalog (32)

1 3 7 11 19 21 33 57 77 133 209 231 399 479 627 1,437 1,463 3,353 4,389 5,269 9,101 10,059 15,807 27,303 36,883 63,707 100,111 110,649 191,121 300,333 700,777 2,102,331

Collatz Trajectory (241 steps to reach 1)

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

2,102,331 6,306,994 3,153,497 9,460,492 4,730,246 2,365,123 7,095,370 3,547,685 10,643,056 5,321,528 2,660,764 1,330,382 665,191 1,995,574 997,787 2,993,362 1,496,681 4,490,044 2,245,022 1,122,511 3,367,534 1,683,767 5,051,302 2,525,651 7,576,954 3,788,477 11,365,432 5,682,716 2,841,358 1,420,679 4,262,038 2,131,019 6,393,058 3,196,529 9,589,588 4,794,794 2,397,397 7,192,192 3,596,096 1,798,048 899,024 449,512 224,756 112,378 56,189 168,568 84,284 42,142 21,071 63,214 31,607 94,822 47,411 142,234 71,117 213,352 106,676 53,338 26,669 80,008

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