λ
Harmonic Matrix

555,327

32 × 61703
Deficient Odd Composite

555,327 has digital root 9. The neighboring primes are 555307 and 555337; its proper-divisor sum differs from the starting integer by -308,502.

Prime Factor Structure

Factorization String 3^2 × 61703
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 802,152
Proper Divisor Sum 246,825
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #555307 ← → #555337

Radix Representation

Decimal 555327
Binary 10000111100100111111 (20 bits)
Octal 0o2074477
Hexadecimal 0x8793F

Divisor Catalog (6)

1 3 9 61,703 185,109 555,327

Collatz Trajectory (120 steps to reach 1)

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

555,327 1,665,982 832,991 2,498,974 1,249,487 3,748,462 1,874,231 5,622,694 2,811,347 8,434,042 4,217,021 12,651,064 6,325,532 3,162,766 1,581,383 4,744,150 2,372,075 7,116,226 3,558,113 10,674,340 5,337,170 2,668,585 8,005,756 4,002,878 2,001,439 6,004,318 3,002,159 9,006,478 4,503,239 13,509,718 6,754,859 20,264,578 10,132,289 30,396,868 15,198,434 7,599,217 22,797,652 11,398,826 5,699,413 17,098,240 8,549,120 4,274,560 2,137,280 1,068,640 534,320 267,160 133,580 66,790 33,395 100,186 50,093 150,280 75,140 37,570 18,785 56,356 28,178 14,089 42,268 21,134

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