λ
Modular Archive

878,384

24 × 13 × 41 × 103
Abundant Even Composite

The decimal integer 878,384 is 11010110011100110000 in binary (20 bits), 3263460 in octal and D6730 in hexadecimal. Its digit sum is 38.

Prime Factor Structure

Factorization String 2^4 × 13 × 41 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,895,712
Proper Divisor Sum 1,017,328
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #878377 ← → #878387

Radix Representation

Decimal 878384
Binary 11010110011100110000 (20 bits)
Octal 0o3263460
Hexadecimal 0xD6730

Divisor Catalog (40)

1 2 4 8 13 16 26 41 52 82 103 104 164 206 208 328 412 533 656 824 1,066 1,339 1,648 2,132 2,678 4,223 4,264 5,356 8,446 8,528 10,712 16,892 21,424 33,784 54,899 67,568 109,798 219,596 439,192 878,384

Collatz Trajectory (157 steps to reach 1)

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

878,384 439,192 219,596 109,798 54,899 164,698 82,349 247,048 123,524 61,762 30,881 92,644 46,322 23,161 69,484 34,742 17,371 52,114 26,057 78,172 39,086 19,543 58,630 29,315 87,946 43,973 131,920 65,960 32,980 16,490 8,245 24,736 12,368 6,184 3,092 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161

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