λ
Harmonic Matrix

1,042,666

2 × 29 × 17977
Deficient Even Composite

1,042,666 has digital root 7. The neighboring primes are 1042633 and 1042681; its proper-divisor sum differs from the starting integer by -467,312.

Prime Factor Structure

Factorization String 2 × 29 × 17977
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,618,020
Proper Divisor Sum 575,354
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1042633 ← → #1042681

Radix Representation

Decimal 1042666
Binary 11111110100011101010 (20 bits)
Octal 0o3764352
Hexadecimal 0xFE8EA

Divisor Catalog (8)

1 2 29 58 17,977 35,954 521,333 1,042,666

Collatz Trajectory (227 steps to reach 1)

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

1,042,666 521,333 1,564,000 782,000 391,000 195,500 97,750 48,875 146,626 73,313 219,940 109,970 54,985 164,956 82,478 41,239 123,718 61,859 185,578 92,789 278,368 139,184 69,592 34,796 17,398 8,699 26,098 13,049 39,148 19,574 9,787 29,362 14,681 44,044 22,022 11,011 33,034 16,517 49,552 24,776 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622

More profiles

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