2,098,229

7² × 42821

Starting at 2,098,229, the Collatz iteration reaches 1 after 104 steps. The first transition is 6294688; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 42821

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,440,854

Proper Divisor Sum 342,625

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2098211 ← → #2098241

Radix Representation

Decimal	2098229
Binary	1000000000010000110101 (22 bits)
Octal	0o10002065
Hexadecimal	0x200435

Divisor Catalog (6)

1 7 49 42,821 299,747 2,098,229

Collatz Trajectory (104 steps to reach 1)

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

2,098,229 6,294,688 3,147,344 1,573,672 786,836 393,418 196,709 590,128 295,064 147,532 73,766 36,883 110,650 55,325 165,976 82,988 41,494 20,747 62,242 31,121 93,364 46,682 23,341 70,024 35,012 17,506 8,753 26,260 13,130 6,565 19,696 9,848 4,924 2,462 1,231 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371

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