λ
Harmonic Matrix

593,887

7 × 37 × 2293
Deficient Odd Composite

593,887 has digital root 4. The neighboring primes are 593869 and 593899; its proper-divisor sum differs from the starting integer by -490,398.

Prime Factor Structure

Factorization String 7 × 37 × 2293
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 697,376
Proper Divisor Sum 103,489
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #593869 ← → #593899

Radix Representation

Decimal 593887
Binary 10010000111111011111 (20 bits)
Octal 0o2207737
Hexadecimal 0x90FDF

Divisor Catalog (8)

1 7 37 259 2,293 16,051 84,841 593,887

Collatz Trajectory (159 steps to reach 1)

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

593,887 1,781,662 890,831 2,672,494 1,336,247 4,008,742 2,004,371 6,013,114 3,006,557 9,019,672 4,509,836 2,254,918 1,127,459 3,382,378 1,691,189 5,073,568 2,536,784 1,268,392 634,196 317,098 158,549 475,648 237,824 118,912 59,456 29,728 14,864 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107

More profiles

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