λ
Harmonic Matrix

6,188,893

6188893
Deficient Odd Prime

6,188,893 has digital root 7. The neighboring primes are 6188887 and 6188929; its proper-divisor sum differs from the starting integer by -6,188,892.

Prime Factor Structure

Factorization String 6188893
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,188,894
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6188887 ← → #6188929

Radix Representation

Decimal 6188893
Binary 10111100110111101011101 (23 bits)
Octal 0o27467535
Hexadecimal 0x5E6F5D

Divisor Catalog (2)

Collatz Trajectory (227 steps to reach 1)

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

6,188,893 18,566,680 9,283,340 4,641,670 2,320,835 6,962,506 3,481,253 10,443,760 5,221,880 2,610,940 1,305,470 652,735 1,958,206 979,103 2,937,310 1,468,655 4,405,966 2,202,983 6,608,950 3,304,475 9,913,426 4,956,713 14,870,140 7,435,070 3,717,535 11,152,606 5,576,303 16,728,910 8,364,455 25,093,366 12,546,683 37,640,050 18,820,025 56,460,076 28,230,038 14,115,019 42,345,058 21,172,529 63,517,588 31,758,794 15,879,397 47,638,192 23,819,096 11,909,548 5,954,774 2,977,387 8,932,162 4,466,081 13,398,244 6,699,122 3,349,561 10,048,684 5,024,342 2,512,171 7,536,514 3,768,257 11,304,772 5,652,386 2,826,193 8,478,580

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