1,728,956

2² × 23 × 18793

Starting at 1,728,956, the Collatz iteration reaches 1 after 145 steps. The first transition is 864478; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 18793

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,157,392

Proper Divisor Sum 1,428,436

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #1728953 ← → #1728959

Radix Representation

Decimal	1728956
Binary	110100110000110111100 (21 bits)
Octal	0o6460674
Hexadecimal	0x1A61BC

Divisor Catalog (12)

1 2 4 23 46 92 18,793 37,586 75,172 432,239 864,478 1,728,956

Collatz Trajectory (145 steps to reach 1)

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

1,728,956 864,478 432,239 1,296,718 648,359 1,945,078 972,539 2,917,618 1,458,809 4,376,428 2,188,214 1,094,107 3,282,322 1,641,161 4,923,484 2,461,742 1,230,871 3,692,614 1,846,307 5,538,922 2,769,461 8,308,384 4,154,192 2,077,096 1,038,548 519,274 259,637 778,912 389,456 194,728 97,364 48,682 24,341 73,024 36,512 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310

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