387,828

2² × 3⁶ × 7 × 19

Prime Factor Structure

Factorization String 2^2 × 3^6 × 7 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 1,224,160

Proper Divisor Sum 836,332

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #387799 ← → #387839

Radix Representation

Decimal	387828
Binary	1011110101011110100 (19 bits)
Octal	0o1365364
Hexadecimal	0x5EAF4

Divisor Catalog (60 of 84)

1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 243 252 266 324 342 378 399 486 513 532 567 684 729 756 798 972 1,026 1,134 1,197 1,458 1,539 1,596 1,701 2,052 2,268 2,394 2,916 3,078 3,402

Collatz Trajectory (192 steps to reach 1)

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

387,828 193,914 96,957 290,872 145,436 72,718 36,359 109,078 54,539 163,618 81,809 245,428 122,714 61,357 184,072 92,036 46,018 23,009 69,028 34,514 17,257 51,772 25,886 12,943 38,830 19,415 58,246 29,123 87,370 43,685 131,056 65,528 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782 472,391 1,417,174 708,587 2,125,762 1,062,881 3,188,644

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