1,350,180

2² × 3² × 5 × 13 × 577

For 1,350,180, the 72 positive divisors have a total of 4,418,232. Removing 1,350,180 leaves 3,068,052, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 13 × 577

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 4,418,232

Proper Divisor Sum 3,068,052

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1350133 ← → #1350187

Radix Representation

Decimal	1350180
Binary	101001001101000100100 (21 bits)
Octal	0o5115044
Hexadecimal	0x149A24

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 577 585 780 1,154 1,170 1,731 2,308 2,340 2,885 3,462 5,193 5,770 6,924 7,501 8,655 10,386 11,540 15,002 17,310 20,772 22,503 25,965 30,004 34,620 37,505 45,006 51,930 67,509

Collatz Trajectory (137 steps to reach 1)

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

1,350,180 675,090 337,545 1,012,636 506,318 253,159 759,478 379,739 1,139,218 569,609 1,708,828 854,414 427,207 1,281,622 640,811 1,922,434 961,217 2,883,652 1,441,826 720,913 2,162,740 1,081,370 540,685 1,622,056 811,028 405,514 202,757 608,272 304,136 152,068 76,034 38,017 114,052 57,026 28,513 85,540 42,770 21,385 64,156 32,078 16,039 48,118 24,059 72,178 36,089 108,268 54,134 27,067 81,202 40,601 121,804 60,902 30,451 91,354 45,677 137,032 68,516 34,258 17,129 51,388

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