2,102,644

2² × 41 × 12821

Starting at 2,102,644, the Collatz iteration reaches 1 after 104 steps. The first transition is 1051322; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 41 × 12821

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,769,668

Proper Divisor Sum 1,667,024

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #2102629 ← → #2102647

Radix Representation

Decimal	2102644
Binary	1000000001010101110100 (22 bits)
Octal	0o10012564
Hexadecimal	0x201574

Divisor Catalog (12)

1 2 4 41 82 164 12,821 25,642 51,284 525,661 1,051,322 2,102,644

Collatz Trajectory (104 steps to reach 1)

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

2,102,644 1,051,322 525,661 1,576,984 788,492 394,246 197,123 591,370 295,685 887,056 443,528 221,764 110,882 55,441 166,324 83,162 41,581 124,744 62,372 31,186 15,593 46,780 23,390 11,695 35,086 17,543 52,630 26,315 78,946 39,473 118,420 59,210 29,605 88,816 44,408 22,204 11,102 5,551 16,654 8,327 24,982 12,491 37,474 18,737 56,212 28,106 14,053 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224

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