1,878,150

2 × 3 × 5² × 19 × 659

Starting at 1,878,150, the Collatz iteration reaches 1 after 52 steps. The first transition is 939075; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 19 × 659

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,910,400

Proper Divisor Sum 3,032,250

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1878139 ← → #1878181

Radix Representation

Decimal	1878150
Binary	111001010100010000110 (21 bits)
Octal	0o7124206
Hexadecimal	0x1CA886

Divisor Catalog (48)

1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 659 950 1,318 1,425 1,977 2,850 3,295 3,954 6,590 9,885 12,521 16,475 19,770 25,042 32,950 37,563 49,425 62,605 75,126 98,850 125,210 187,815 313,025 375,630 626,050 939,075 1,878,150

Collatz Trajectory (52 steps to reach 1)

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

1,878,150 939,075 2,817,226 1,408,613 4,225,840 2,112,920 1,056,460 528,230 264,115 792,346 396,173 1,188,520 594,260 297,130 148,565 445,696 222,848 111,424 55,712 27,856 13,928 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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