λ
Harmonic Matrix

1,040,038

2 × 520019
Deficient Even Composite

1,040,038 has digital root 7. The neighboring primes are 1040029 and 1040051; its proper-divisor sum differs from the starting integer by -520,016.

Prime Factor Structure

Factorization String 2 × 520019
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,560,060
Proper Divisor Sum 520,022
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1040029 ← → #1040051

Radix Representation

Decimal 1040038
Binary 11111101111010100110 (20 bits)
Octal 0o3757246
Hexadecimal 0xFDEA6

Divisor Catalog (4)

1 2 520,019 1,040,038

Collatz Trajectory (302 steps to reach 1)

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

1,040,038 520,019 1,560,058 780,029 2,340,088 1,170,044 585,022 292,511 877,534 438,767 1,316,302 658,151 1,974,454 987,227 2,961,682 1,480,841 4,442,524 2,221,262 1,110,631 3,331,894 1,665,947 4,997,842 2,498,921 7,496,764 3,748,382 1,874,191 5,622,574 2,811,287 8,433,862 4,216,931 12,650,794 6,325,397 18,976,192 9,488,096 4,744,048 2,372,024 1,186,012 593,006 296,503 889,510 444,755 1,334,266 667,133 2,001,400 1,000,700 500,350 250,175 750,526 375,263 1,125,790 562,895 1,688,686 844,343 2,533,030 1,266,515 3,799,546 1,899,773 5,699,320 2,849,660 1,424,830

More profiles

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