1,725,729

3 × 575243

Starting at 1,725,729, the Collatz iteration reaches 1 after 96 steps. The first transition is 5177188; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 575243

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,300,976

Proper Divisor Sum 575,247

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1725707 ← → #1725743

Radix Representation

Decimal	1725729
Binary	110100101010100100001 (21 bits)
Octal	0o6452441
Hexadecimal	0x1A5521

Divisor Catalog (4)

1 3 575,243 1,725,729

Collatz Trajectory (96 steps to reach 1)

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

1,725,729 5,177,188 2,588,594 1,294,297 3,882,892 1,941,446 970,723 2,912,170 1,456,085 4,368,256 2,184,128 1,092,064 546,032 273,016 136,508 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504 30,752 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305

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