1,984,398

2 × 3 × 13² × 19 × 103

Starting at 1,984,398, the Collatz iteration reaches 1 after 122 steps. The first transition is 992199; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 19 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,567,680

Proper Divisor Sum 2,583,282

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #1984397 ← → #1984399

Radix Representation

Decimal	1984398
Binary	111100100011110001110 (21 bits)
Octal	0o7443616
Hexadecimal	0x1E478E

Divisor Catalog (48)

1 2 3 6 13 19 26 38 39 57 78 103 114 169 206 247 309 338 494 507 618 741 1,014 1,339 1,482 1,957 2,678 3,211 3,914 4,017 5,871 6,422 8,034 9,633 11,742 17,407 19,266 25,441 34,814 50,882 52,221 76,323 104,442 152,646 330,733 661,466 992,199 1,984,398

Collatz Trajectory (122 steps to reach 1)

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

1,984,398 992,199 2,976,598 1,488,299 4,464,898 2,232,449 6,697,348 3,348,674 1,674,337 5,023,012 2,511,506 1,255,753 3,767,260 1,883,630 941,815 2,825,446 1,412,723 4,238,170 2,119,085 6,357,256 3,178,628 1,589,314 794,657 2,383,972 1,191,986 595,993 1,787,980 893,990 446,995 1,340,986 670,493 2,011,480 1,005,740 502,870 251,435 754,306 377,153 1,131,460 565,730 282,865 848,596 424,298 212,149 636,448 318,224 159,112 79,556 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098

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