λ
Harmonic Matrix

1,009,738

2 × 313 × 1613
Deficient Even Composite

1,009,738 has digital root 1. The neighboring primes are 1009727 and 1009741; its proper-divisor sum differs from the starting integer by -499,088.

Prime Factor Structure

Factorization String 2 × 313 × 1613
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,520,388
Proper Divisor Sum 510,650
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1009727 ← → #1009741

Radix Representation

Decimal 1009738
Binary 11110110100001001010 (20 bits)
Octal 0o3664112
Hexadecimal 0xF684A

Divisor Catalog (8)

1 2 313 626 1,613 3,226 504,869 1,009,738

Collatz Trajectory (152 steps to reach 1)

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

1,009,738 504,869 1,514,608 757,304 378,652 189,326 94,663 283,990 141,995 425,986 212,993 638,980 319,490 159,745 479,236 239,618 119,809 359,428 179,714 89,857 269,572 134,786 67,393 202,180 101,090 50,545 151,636 75,818 37,909 113,728 56,864 28,432 14,216 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182

More profiles

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