1,728,556

2² × 432139

Starting at 1,728,556, the Collatz iteration reaches 1 after 83 steps. The first transition is 864278; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 432139

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,024,980

Proper Divisor Sum 1,296,424

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #1728547 ← → #1728581

Radix Representation

Decimal	1728556
Binary	110100110000000101100 (21 bits)
Octal	0o6460054
Hexadecimal	0x1A602C

Divisor Catalog (6)

1 2 4 432,139 864,278 1,728,556

Collatz Trajectory (83 steps to reach 1)

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

1,728,556 864,278 432,139 1,296,418 648,209 1,944,628 972,314 486,157 1,458,472 729,236 364,618 182,309 546,928 273,464 136,732 68,366 34,183 102,550 51,275 153,826 76,913 230,740 115,370 57,685 173,056 86,528 43,264 21,632 10,816 5,408 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308

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