1,652,940

2² × 3³ × 5 × 3061

Starting at 1,652,940, the Collatz iteration reaches 1 after 220 steps. The first transition is 826470; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 3061

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 5,144,160

Proper Divisor Sum 3,491,220

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1652933 ← → #1652947

Radix Representation

Decimal	1652940
Binary	110010011100011001100 (21 bits)
Octal	0o6234314
Hexadecimal	0x1938CC

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 3,061 6,122 9,183 12,244 15,305 18,366 27,549 30,610 36,732 45,915 55,098 61,220 82,647 91,830 110,196 137,745 165,294 183,660 275,490 330,588 413,235 550,980 826,470 1,652,940

Collatz Trajectory (220 steps to reach 1)

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

1,652,940 826,470 413,235 1,239,706 619,853 1,859,560 929,780 464,890 232,445 697,336 348,668 174,334 87,167 261,502 130,751 392,254 196,127 588,382 294,191 882,574 441,287 1,323,862 661,931 1,985,794 992,897 2,978,692 1,489,346 744,673 2,234,020 1,117,010 558,505 1,675,516 837,758 418,879 1,256,638 628,319 1,884,958 942,479 2,827,438 1,413,719 4,241,158 2,120,579 6,361,738 3,180,869 9,542,608 4,771,304 2,385,652 1,192,826 596,413 1,789,240 894,620 447,310 223,655 670,966 335,483 1,006,450 503,225 1,509,676 754,838 377,419

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