1,819,375

5⁴ × 41 × 71

Starting at 1,819,375, the Collatz iteration reaches 1 after 308 steps. The first transition is 5458126; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 5^4 × 41 × 71

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 2,361,744

Proper Divisor Sum 542,369

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #1819361 ← → #1819381

Radix Representation

Decimal	1819375
Binary	110111100001011101111 (21 bits)
Octal	0o6741357
Hexadecimal	0x1BC2EF

Divisor Catalog (20)

1 5 25 41 71 125 205 355 625 1,025 1,775 2,911 5,125 8,875 14,555 25,625 44,375 72,775 363,875 1,819,375

Collatz Trajectory (308 steps to reach 1)

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

1,819,375 5,458,126 2,729,063 8,187,190 4,093,595 12,280,786 6,140,393 18,421,180 9,210,590 4,605,295 13,815,886 6,907,943 20,723,830 10,361,915 31,085,746 15,542,873 46,628,620 23,314,310 11,657,155 34,971,466 17,485,733 52,457,200 26,228,600 13,114,300 6,557,150 3,278,575 9,835,726 4,917,863 14,753,590 7,376,795 22,130,386 11,065,193 33,195,580 16,597,790 8,298,895 24,896,686 12,448,343 37,345,030 18,672,515 56,017,546 28,008,773 84,026,320 42,013,160 21,006,580 10,503,290 5,251,645 15,754,936 7,877,468 3,938,734 1,969,367 5,908,102 2,954,051 8,862,154 4,431,077 13,293,232 6,646,616 3,323,308 1,661,654 830,827 2,492,482

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