1,728,360

2³ × 3² × 5 × 4801

For 1,728,360, the 48 positive divisors have a total of 5,618,340. Removing 1,728,360 leaves 3,889,980, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 4801

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 5,618,340

Proper Divisor Sum 3,889,980

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1728341 ← → #1728361

Radix Representation

Decimal	1728360
Binary	110100101111101101000 (21 bits)
Octal	0o6457550
Hexadecimal	0x1A5F68

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4,801 9,602 14,403 19,204 24,005 28,806 38,408 43,209 48,010 57,612 72,015 86,418 96,020 115,224 144,030 172,836 192,040 216,045 288,060 345,672 432,090 576,120 864,180 1,728,360

Collatz Trajectory (101 steps to reach 1)

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

1,728,360 864,180 432,090 216,045 648,136 324,068 162,034 81,017 243,052 121,526 60,763 182,290 91,145 273,436 136,718 68,359 205,078 102,539 307,618 153,809 461,428 230,714 115,357 346,072 173,036 86,518 43,259 129,778 64,889 194,668 97,334 48,667 146,002 73,001 219,004 109,502 54,751 164,254 82,127 246,382 123,191 369,574 184,787 554,362 277,181 831,544 415,772 207,886 103,943 311,830 155,915 467,746 233,873 701,620 350,810 175,405 526,216 263,108 131,554 65,777

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