1,872,702

2 × 3² × 13 × 53 × 151

Starting at 1,872,702, the Collatz iteration reaches 1 after 158 steps. The first transition is 936351; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 53 × 151

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,481,568

Proper Divisor Sum 2,608,866

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1872691 ← → #1872713

Radix Representation

Decimal	1872702
Binary	111001001001100111110 (21 bits)
Octal	0o7111476
Hexadecimal	0x1C933E

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 53 78 106 117 151 159 234 302 318 453 477 689 906 954 1,359 1,378 1,963 2,067 2,718 3,926 4,134 5,889 6,201 8,003 11,778 12,402 16,006 17,667 24,009 35,334 48,018 72,027 104,039 144,054 208,078 312,117 624,234 936,351 1,872,702

Collatz Trajectory (158 steps to reach 1)

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

1,872,702 936,351 2,809,054 1,404,527 4,213,582 2,106,791 6,320,374 3,160,187 9,480,562 4,740,281 14,220,844 7,110,422 3,555,211 10,665,634 5,332,817 15,998,452 7,999,226 3,999,613 11,998,840 5,999,420 2,999,710 1,499,855 4,499,566 2,249,783 6,749,350 3,374,675 10,124,026 5,062,013 15,186,040 7,593,020 3,796,510 1,898,255 5,694,766 2,847,383 8,542,150 4,271,075 12,813,226 6,406,613 19,219,840 9,609,920 4,804,960 2,402,480 1,201,240 600,620 300,310 150,155 450,466 225,233 675,700 337,850 168,925 506,776 253,388 126,694 63,347 190,042 95,021 285,064 142,532 71,266

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