λ
Harmonic Matrix

1,039,928

23 × 61 × 2131
Deficient Even Composite

1,039,928 has digital root 5. The neighboring primes are 1039921 and 1039931; its proper-divisor sum differs from the starting integer by -97,096.

Prime Factor Structure

Factorization String 2^3 × 61 × 2131
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,982,760
Proper Divisor Sum 942,832
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1039921 ← → #1039931

Radix Representation

Decimal 1039928
Binary 11111101111000111000 (20 bits)
Octal 0o3757070
Hexadecimal 0xFDE38

Divisor Catalog (16)

1 2 4 8 61 122 244 488 2,131 4,262 8,524 17,048 129,991 259,982 519,964 1,039,928

Collatz Trajectory (346 steps to reach 1)

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

1,039,928 519,964 259,982 129,991 389,974 194,987 584,962 292,481 877,444 438,722 219,361 658,084 329,042 164,521 493,564 246,782 123,391 370,174 185,087 555,262 277,631 832,894 416,447 1,249,342 624,671 1,874,014 937,007 2,811,022 1,405,511 4,216,534 2,108,267 6,324,802 3,162,401 9,487,204 4,743,602 2,371,801 7,115,404 3,557,702 1,778,851 5,336,554 2,668,277 8,004,832 4,002,416 2,001,208 1,000,604 500,302 250,151 750,454 375,227 1,125,682 562,841 1,688,524 844,262 422,131 1,266,394 633,197 1,899,592 949,796 474,898 237,449

More profiles

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