λ
Harmonic Matrix

5,993,931

3 × 173 × 11549
Deficient Odd Composite

5,993,931 has digital root 3. The neighboring primes are 5993927 and 5993941; its proper-divisor sum differs from the starting integer by -3,949,062.

Prime Factor Structure

Factorization String 3 × 173 × 11549
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,038,800
Proper Divisor Sum 2,044,869
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5993927 ← → #5993941

Radix Representation

Decimal 5993931
Binary 10110110111010111001011 (23 bits)
Octal 0o26672713
Hexadecimal 0x5B75CB

Divisor Catalog (8)

1 3 173 519 11,549 34,647 1,997,977 5,993,931

Collatz Trajectory (113 steps to reach 1)

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

5,993,931 17,981,794 8,990,897 26,972,692 13,486,346 6,743,173 20,229,520 10,114,760 5,057,380 2,528,690 1,264,345 3,793,036 1,896,518 948,259 2,844,778 1,422,389 4,267,168 2,133,584 1,066,792 533,396 266,698 133,349 400,048 200,024 100,012 50,006 25,003 75,010 37,505 112,516 56,258 28,129 84,388 42,194 21,097 63,292 31,646 15,823 47,470 23,735 71,206 35,603 106,810 53,405 160,216 80,108 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696 25,348 12,674 6,337

More profiles

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