2,106,424

2³ × 263303

Starting at 2,106,424, the Collatz iteration reaches 1 after 153 steps. The first transition is 1053212; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 263303

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,949,560

Proper Divisor Sum 1,843,136

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #2106421 ← → #2106427

Radix Representation

Decimal	2106424
Binary	1000000010010000111000 (22 bits)
Octal	0o10022070
Hexadecimal	0x202438

Divisor Catalog (8)

1 2 4 8 263,303 526,606 1,053,212 2,106,424

Collatz Trajectory (153 steps to reach 1)

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

2,106,424 1,053,212 526,606 263,303 789,910 394,955 1,184,866 592,433 1,777,300 888,650 444,325 1,332,976 666,488 333,244 166,622 83,311 249,934 124,967 374,902 187,451 562,354 281,177 843,532 421,766 210,883 632,650 316,325 948,976 474,488 237,244 118,622 59,311 177,934 88,967 266,902 133,451 400,354 200,177 600,532 300,266 150,133 450,400 225,200 112,600 56,300 28,150 14,075 42,226 21,113 63,340 31,670 15,835 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170

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