1,922,125

5³ × 15377

Starting at 1,922,125, the Collatz iteration reaches 1 after 109 steps. The first transition is 5766376; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 15377

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,398,968

Proper Divisor Sum 476,843

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1922119 ← → #1922147

Radix Representation

Decimal	1922125
Binary	111010101010001001101 (21 bits)
Octal	0o7252115
Hexadecimal	0x1D544D

Divisor Catalog (8)

1 5 25 125 15,377 76,885 384,425 1,922,125

Collatz Trajectory (109 steps to reach 1)

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

1,922,125 5,766,376 2,883,188 1,441,594 720,797 2,162,392 1,081,196 540,598 270,299 810,898 405,449 1,216,348 608,174 304,087 912,262 456,131 1,368,394 684,197 2,052,592 1,026,296 513,148 256,574 128,287 384,862 192,431 577,294 288,647 865,942 432,971 1,298,914 649,457 1,948,372 974,186 487,093 1,461,280 730,640 365,320 182,660 91,330 45,665 136,996 68,498 34,249 102,748 51,374 25,687 77,062 38,531 115,594 57,797 173,392 86,696 43,348 21,674 10,837 32,512 16,256 8,128 4,064 2,032

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