λ
Harmonic Matrix

1,804,615

5 × 41 × 8803
Deficient Odd Composite

1,804,615 has digital root 7. The neighboring primes are 1804613 and 1804619; its proper-divisor sum differs from the starting integer by -1,390,622.

Prime Factor Structure

Factorization String 5 × 41 × 8803
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,218,608
Proper Divisor Sum 413,993
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1804613 ← → #1804619

Radix Representation

Decimal 1804615
Binary 110111000100101000111 (21 bits)
Octal 0o6704507
Hexadecimal 0x1B8947

Divisor Catalog (8)

1 5 41 205 8,803 44,015 360,923 1,804,615

Collatz Trajectory (202 steps to reach 1)

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

1,804,615 5,413,846 2,706,923 8,120,770 4,060,385 12,181,156 6,090,578 3,045,289 9,135,868 4,567,934 2,283,967 6,851,902 3,425,951 10,277,854 5,138,927 15,416,782 7,708,391 23,125,174 11,562,587 34,687,762 17,343,881 52,031,644 26,015,822 13,007,911 39,023,734 19,511,867 58,535,602 29,267,801 87,803,404 43,901,702 21,950,851 65,852,554 32,926,277 98,778,832 49,389,416 24,694,708 12,347,354 6,173,677 18,521,032 9,260,516 4,630,258 2,315,129 6,945,388 3,472,694 1,736,347 5,209,042 2,604,521 7,813,564 3,906,782 1,953,391 5,860,174 2,930,087 8,790,262 4,395,131 13,185,394 6,592,697 19,778,092 9,889,046 4,944,523 14,833,570

More profiles

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