λ
Harmonic Matrix

381,493

7 × 54499
Deficient Odd Composite

381,493 has digital root 1. The neighboring primes are 381487 and 381509; its proper-divisor sum differs from the starting integer by -326,986.

Prime Factor Structure

Factorization String 7 × 54499
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 436,000
Proper Divisor Sum 54,507
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #381487 ← → #381509

Radix Representation

Decimal 381493
Binary 1011101001000110101 (19 bits)
Octal 0o1351065
Hexadecimal 0x5D235

Divisor Catalog (4)

1 7 54,499 381,493

Collatz Trajectory (55 steps to reach 1)

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

381,493 1,144,480 572,240 286,120 143,060 71,530 35,765 107,296 53,648 26,824 13,412 6,706 3,353 10,060 5,030 2,515 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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