1,792,629

3² × 199181

Starting at 1,792,629, the Collatz iteration reaches 1 after 96 steps. The first transition is 5377888; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 199181

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,589,366

Proper Divisor Sum 796,737

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1792621 ← → #1792663

Radix Representation

Decimal	1792629
Binary	110110101101001110101 (21 bits)
Octal	0o6655165
Hexadecimal	0x1B5A75

Divisor Catalog (6)

1 3 9 199,181 597,543 1,792,629

Collatz Trajectory (96 steps to reach 1)

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

1,792,629 5,377,888 2,688,944 1,344,472 672,236 336,118 168,059 504,178 252,089 756,268 378,134 189,067 567,202 283,601 850,804 425,402 212,701 638,104 319,052 159,526 79,763 239,290 119,645 358,936 179,468 89,734 44,867 134,602 67,301 201,904 100,952 50,476 25,238 12,619 37,858 18,929 56,788 28,394 14,197 42,592 21,296 10,648 5,324 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317

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