1,746,585

3² × 5 × 37 × 1049

Starting at 1,746,585, the Collatz iteration reaches 1 after 127 steps. The first transition is 5239756; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 37 × 1049

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,112,200

Proper Divisor Sum 1,365,615

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1746581 ← → #1746587

Radix Representation

Decimal	1746585
Binary	110101010011010011001 (21 bits)
Octal	0o6523231
Hexadecimal	0x1AA699

Divisor Catalog (24)

1 3 5 9 15 37 45 111 185 333 555 1,049 1,665 3,147 5,245 9,441 15,735 38,813 47,205 116,439 194,065 349,317 582,195 1,746,585

Collatz Trajectory (127 steps to reach 1)

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

1,746,585 5,239,756 2,619,878 1,309,939 3,929,818 1,964,909 5,894,728 2,947,364 1,473,682 736,841 2,210,524 1,105,262 552,631 1,657,894 828,947 2,486,842 1,243,421 3,730,264 1,865,132 932,566 466,283 1,398,850 699,425 2,098,276 1,049,138 524,569 1,573,708 786,854 393,427 1,180,282 590,141 1,770,424 885,212 442,606 221,303 663,910 331,955 995,866 497,933 1,493,800 746,900 373,450 186,725 560,176 280,088 140,044 70,022 35,011 105,034 52,517 157,552 78,776 39,388 19,694 9,847 29,542 14,771 44,314 22,157 66,472

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