1,667,028

2² × 3 × 11 × 73 × 173

Starting at 1,667,028, the Collatz iteration reaches 1 after 176 steps. The first transition is 833514; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 73 × 173

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,326,336

Proper Divisor Sum 2,659,308

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1666999 ← → #1667033

Radix Representation

Decimal	1667028
Binary	110010110111111010100 (21 bits)
Octal	0o6267724
Hexadecimal	0x196FD4

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 66 73 132 146 173 219 292 346 438 519 692 803 876 1,038 1,606 1,903 2,076 2,409 3,212 3,806 4,818 5,709 7,612 9,636 11,418 12,629 22,836 25,258 37,887 50,516 75,774 138,919 151,548 277,838 416,757 555,676 833,514 1,667,028

Collatz Trajectory (176 steps to reach 1)

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

1,667,028 833,514 416,757 1,250,272 625,136 312,568 156,284 78,142 39,071 117,214 58,607 175,822 87,911 263,734 131,867 395,602 197,801 593,404 296,702 148,351 445,054 222,527 667,582 333,791 1,001,374 500,687 1,502,062 751,031 2,253,094 1,126,547 3,379,642 1,689,821 5,069,464 2,534,732 1,267,366 633,683 1,901,050 950,525 2,851,576 1,425,788 712,894 356,447 1,069,342 534,671 1,604,014 802,007 2,406,022 1,203,011 3,609,034 1,804,517 5,413,552 2,706,776 1,353,388 676,694 338,347 1,015,042 507,521 1,522,564 761,282 380,641

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