1,852,375

5³ × 7 × 29 × 73

Starting at 1,852,375, the Collatz iteration reaches 1 after 114 steps. The first transition is 5557126; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 7 × 29 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,770,560

Proper Divisor Sum 918,185

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1852373 ← → #1852393

Radix Representation

Decimal	1852375
Binary	111000100001111010111 (21 bits)
Octal	0o7041727
Hexadecimal	0x1C43D7

Divisor Catalog (32)

1 5 7 25 29 35 73 125 145 175 203 365 511 725 875 1,015 1,825 2,117 2,555 3,625 5,075 9,125 10,585 12,775 14,819 25,375 52,925 63,875 74,095 264,625 370,475 1,852,375

Collatz Trajectory (114 steps to reach 1)

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

1,852,375 5,557,126 2,778,563 8,335,690 4,167,845 12,503,536 6,251,768 3,125,884 1,562,942 781,471 2,344,414 1,172,207 3,516,622 1,758,311 5,274,934 2,637,467 7,912,402 3,956,201 11,868,604 5,934,302 2,967,151 8,901,454 4,450,727 13,352,182 6,676,091 20,028,274 10,014,137 30,042,412 15,021,206 7,510,603 22,531,810 11,265,905 33,797,716 16,898,858 8,449,429 25,348,288 12,674,144 6,337,072 3,168,536 1,584,268 792,134 396,067 1,188,202 594,101 1,782,304 891,152 445,576 222,788 111,394 55,697 167,092 83,546 41,773 125,320 62,660 31,330 15,665 46,996 23,498 11,749

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