1,797,250

2 × 5³ × 7 × 13 × 79

Starting at 1,797,250, the Collatz iteration reaches 1 after 96 steps. The first transition is 898625; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^3 × 7 × 13 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 4,193,280

Proper Divisor Sum 2,396,030

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1797241 ← → #1797277

Radix Representation

Decimal	1797250
Binary	110110110110010000010 (21 bits)
Octal	0o6666202
Hexadecimal	0x1B6C82

Divisor Catalog (60 of 64)

1 2 5 7 10 13 14 25 26 35 50 65 70 79 91 125 130 158 175 182 250 325 350 395 455 553 650 790 875 910 1,027 1,106 1,625 1,750 1,975 2,054 2,275 2,765 3,250 3,950 4,550 5,135 5,530 7,189 9,875 10,270 11,375 13,825 14,378 19,750 22,750 25,675 27,650 35,945 51,350 69,125 71,890 128,375 138,250 179,725

Collatz Trajectory (96 steps to reach 1)

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

1,797,250 898,625 2,695,876 1,347,938 673,969 2,021,908 1,010,954 505,477 1,516,432 758,216 379,108 189,554 94,777 284,332 142,166 71,083 213,250 106,625 319,876 159,938 79,969 239,908 119,954 59,977 179,932 89,966 44,983 134,950 67,475 202,426 101,213 303,640 151,820 75,910 37,955 113,866 56,933 170,800 85,400 42,700 21,350 10,675 32,026 16,013 48,040 24,020 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317

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