1,729,197

3² × 192133

Starting at 1,729,197, the Collatz iteration reaches 1 after 101 steps. The first transition is 5187592; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 192133

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,497,742

Proper Divisor Sum 768,545

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1729193 ← → #1729207

Radix Representation

Decimal	1729197
Binary	110100110001010101101 (21 bits)
Octal	0o6461255
Hexadecimal	0x1A62AD

Divisor Catalog (6)

1 3 9 192,133 576,399 1,729,197

Collatz Trajectory (101 steps to reach 1)

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

1,729,197 5,187,592 2,593,796 1,296,898 648,449 1,945,348 972,674 486,337 1,459,012 729,506 364,753 1,094,260 547,130 273,565 820,696 410,348 205,174 102,587 307,762 153,881 461,644 230,822 115,411 346,234 173,117 519,352 259,676 129,838 64,919 194,758 97,379 292,138 146,069 438,208 219,104 109,552 54,776 27,388 13,694 6,847 20,542 10,271 30,814 15,407 46,222 23,111 69,334 34,667 104,002 52,001 156,004 78,002 39,001 117,004 58,502 29,251 87,754 43,877 131,632 65,816

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