λ
Zalai Atlas

5,883,384

23 × 3 × 13 × 109 × 173
Abundant Even Composite

5,883,384 has the prime decomposition 2^3 × 3 × 13 × 109 × 173. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 109 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 16,077,600
Proper Divisor Sum 10,194,216
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5883379 ← → #5883391

Radix Representation

Decimal 5883384
Binary 10110011100010111111000 (23 bits)
Octal 0o26342770
Hexadecimal 0x59C5F8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 109 156 173 218 312 327 346 436 519 654 692 872 1,038 1,308 1,384 1,417 2,076 2,249 2,616 2,834 4,152 4,251 4,498 5,668 6,747 8,502 8,996 11,336 13,494 17,004 17,992 18,857 26,988 34,008 37,714 53,976 56,571 75,428 113,142 150,856 226,284 245,141 452,568 490,282 735,423 980,564

Collatz Trajectory (139 steps to reach 1)

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

5,883,384 2,941,692 1,470,846 735,423 2,206,270 1,103,135 3,309,406 1,654,703 4,964,110 2,482,055 7,446,166 3,723,083 11,169,250 5,584,625 16,753,876 8,376,938 4,188,469 12,565,408 6,282,704 3,141,352 1,570,676 785,338 392,669 1,178,008 589,004 294,502 147,251 441,754 220,877 662,632 331,316 165,658 82,829 248,488 124,244 62,122 31,061 93,184 46,592 23,296 11,648 5,824 2,912 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175

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