1,908,127

13 × 37 × 3967

Starting at 1,908,127, the Collatz iteration reaches 1 after 215 steps. The first transition is 5724382; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 37 × 3967

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,110,976

Proper Divisor Sum 202,849

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1908121 ← → #1908133

Radix Representation

Decimal	1908127
Binary	111010001110110011111 (21 bits)
Octal	0o7216637
Hexadecimal	0x1D1D9F

Divisor Catalog (8)

1 13 37 481 3,967 51,571 146,779 1,908,127

Collatz Trajectory (215 steps to reach 1)

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

1,908,127 5,724,382 2,862,191 8,586,574 4,293,287 12,879,862 6,439,931 19,319,794 9,659,897 28,979,692 14,489,846 7,244,923 21,734,770 10,867,385 32,602,156 16,301,078 8,150,539 24,451,618 12,225,809 36,677,428 18,338,714 9,169,357 27,508,072 13,754,036 6,877,018 3,438,509 10,315,528 5,157,764 2,578,882 1,289,441 3,868,324 1,934,162 967,081 2,901,244 1,450,622 725,311 2,175,934 1,087,967 3,263,902 1,631,951 4,895,854 2,447,927 7,343,782 3,671,891 11,015,674 5,507,837 16,523,512 8,261,756 4,130,878 2,065,439 6,196,318 3,098,159 9,294,478 4,647,239 13,941,718 6,970,859 20,912,578 10,456,289 31,368,868 15,684,434

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