λ
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591,003

33 × 7 × 53 × 59
Deficient Odd Composite

591,003 factors as 3^3 × 7 × 53 × 59. Its 32 positive divisors give a proper-divisor sum of 445,797, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 53 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,036,800
Proper Divisor Sum 445,797
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #590987 ← → #591023

Radix Representation

Decimal 591003
Binary 10010000010010011011 (20 bits)
Octal 0o2202233
Hexadecimal 0x9049B

Divisor Catalog (32)

1 3 7 9 21 27 53 59 63 159 177 189 371 413 477 531 1,113 1,239 1,431 1,593 3,127 3,339 3,717 9,381 10,017 11,151 21,889 28,143 65,667 84,429 197,001 591,003

Collatz Trajectory (128 steps to reach 1)

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

591,003 1,773,010 886,505 2,659,516 1,329,758 664,879 1,994,638 997,319 2,991,958 1,495,979 4,487,938 2,243,969 6,731,908 3,365,954 1,682,977 5,048,932 2,524,466 1,262,233 3,786,700 1,893,350 946,675 2,840,026 1,420,013 4,260,040 2,130,020 1,065,010 532,505 1,597,516 798,758 399,379 1,198,138 599,069 1,797,208 898,604 449,302 224,651 673,954 336,977 1,010,932 505,466 252,733 758,200 379,100 189,550 94,775 284,326 142,163 426,490 213,245 639,736 319,868 159,934 79,967 239,902 119,951 359,854 179,927 539,782 269,891 809,674

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