λ
Harmonic Matrix

5,991,188

22 × 7 × 37 × 5783
Abundant Even Composite

5,991,188 has digital root 5. The neighboring primes are 5991187 and 5991217; its proper-divisor sum differs from the starting integer by 325,976.

Prime Factor Structure

Factorization String 2^2 × 7 × 37 × 5783
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,308,352
Proper Divisor Sum 6,317,164
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #5991187 ← → #5991217

Radix Representation

Decimal 5991188
Binary 10110110110101100010100 (23 bits)
Octal 0o26665424
Hexadecimal 0x5B6B14

Divisor Catalog (24)

1 2 4 7 14 28 37 74 148 259 518 1,036 5,783 11,566 23,132 40,481 80,962 161,924 213,971 427,942 855,884 1,497,797 2,995,594 5,991,188

Collatz Trajectory (152 steps to reach 1)

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

5,991,188 2,995,594 1,497,797 4,493,392 2,246,696 1,123,348 561,674 280,837 842,512 421,256 210,628 105,314 52,657 157,972 78,986 39,493 118,480 59,240 29,620 14,810 7,405 22,216 11,108 5,554 2,777 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182

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