372,060

2² × 3³ × 5 × 13 × 53

For 372,060, the 96 positive divisors have a total of 1,270,080. Removing 372,060 leaves 898,020, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 13 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,270,080

Proper Divisor Sum 898,020

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #372059 ← → #372061

Radix Representation

Decimal	372060
Binary	1011010110101011100 (19 bits)
Octal	0o1326534
Hexadecimal	0x5AD5C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 53 54 60 65 78 90 106 108 117 130 135 156 159 180 195 212 234 260 265 270 318 351 390 468 477 530 540 585 636 689 702 780 795 954 1,060 1,170 1,378 1,404 1,431 1,590

Collatz Trajectory (135 steps to reach 1)

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

372,060 186,030 93,015 279,046 139,523 418,570 209,285 627,856 313,928 156,964 78,482 39,241 117,724 58,862 29,431 88,294 44,147 132,442 66,221 198,664 99,332 49,666 24,833 74,500 37,250 18,625 55,876 27,938 13,969 41,908 20,954 10,477 31,432 15,716 7,858 3,929 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395

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