λ
Harmonic Matrix

1,338,339

3 × 79 × 5647
Deficient Odd Composite

1,338,339 has digital root 3. The neighboring primes are 1338331 and 1338343; its proper-divisor sum differs from the starting integer by -869,318.

Prime Factor Structure

Factorization String 3 × 79 × 5647
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,807,360
Proper Divisor Sum 469,021
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1338331 ← → #1338343

Radix Representation

Decimal 1338339
Binary 101000110101111100011 (21 bits)
Octal 0o5065743
Hexadecimal 0x146BE3

Divisor Catalog (8)

1 3 79 237 5,647 16,941 446,113 1,338,339

Collatz Trajectory (62 steps to reach 1)

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

1,338,339 4,015,018 2,007,509 6,022,528 3,011,264 1,505,632 752,816 376,408 188,204 94,102 47,051 141,154 70,577 211,732 105,866 52,933 158,800 79,400 39,700 19,850 9,925 29,776 14,888 7,444 3,722 1,861 5,584 2,792 1,396 698 349 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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