λ
Harmonic Matrix

539,123

13 × 113 × 367
Deficient Odd Composite

539,123 has digital root 5. The neighboring primes are 539113 and 539129; its proper-divisor sum differs from the starting integer by -490,918.

Prime Factor Structure

Factorization String 13 × 113 × 367
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 587,328
Proper Divisor Sum 48,205
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #539113 ← → #539129

Radix Representation

Decimal 539123
Binary 10000011100111110011 (20 bits)
Octal 0o2034763
Hexadecimal 0x839F3

Divisor Catalog (8)

1 13 113 367 1,469 4,771 41,471 539,123

Collatz Trajectory (164 steps to reach 1)

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

539,123 1,617,370 808,685 2,426,056 1,213,028 606,514 303,257 909,772 454,886 227,443 682,330 341,165 1,023,496 511,748 255,874 127,937 383,812 191,906 95,953 287,860 143,930 71,965 215,896 107,948 53,974 26,987 80,962 40,481 121,444 60,722 30,361 91,084 45,542 22,771 68,314 34,157 102,472 51,236 25,618 12,809 38,428 19,214 9,607 28,822 14,411 43,234 21,617 64,852 32,426 16,213 48,640 24,320 12,160 6,080 3,040 1,520 760 380 190 95

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