λ
Harmonic Matrix

5,388,183

32 × 598687
Deficient Odd Composite

5,388,183 has digital root 9. The neighboring primes are 5388169 and 5388193; its proper-divisor sum differs from the starting integer by -2,993,422.

Prime Factor Structure

Factorization String 3^2 × 598687
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 7,782,944
Proper Divisor Sum 2,394,761
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5388169 ← → #5388193

Radix Representation

Decimal 5388183
Binary 10100100011011110010111 (23 bits)
Octal 0o24433627
Hexadecimal 0x523797

Divisor Catalog (6)

1 3 9 598,687 1,796,061 5,388,183

Collatz Trajectory (188 steps to reach 1)

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

5,388,183 16,164,550 8,082,275 24,246,826 12,123,413 36,370,240 18,185,120 9,092,560 4,546,280 2,273,140 1,136,570 568,285 1,704,856 852,428 426,214 213,107 639,322 319,661 958,984 479,492 239,746 119,873 359,620 179,810 89,905 269,716 134,858 67,429 202,288 101,144 50,572 25,286 12,643 37,930 18,965 56,896 28,448 14,224 7,112 3,556 1,778 889 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710

More profiles

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