λ
Harmonic Matrix

1,565,085

3 × 5 × 103 × 1013
Deficient Odd Composite

1,565,085 has digital root 3. The neighboring primes are 1565059 and 1565099; its proper-divisor sum differs from the starting integer by -599,226.

Prime Factor Structure

Factorization String 3 × 5 × 103 × 1013
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,530,944
Proper Divisor Sum 965,859
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1565059 ← → #1565099

Radix Representation

Decimal 1565085
Binary 101111110000110011101 (21 bits)
Octal 0o5760635
Hexadecimal 0x17E19D

Divisor Catalog (16)

1 3 5 15 103 309 515 1,013 1,545 3,039 5,065 15,195 104,339 313,017 521,695 1,565,085

Collatz Trajectory (331 steps to reach 1)

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

1,565,085 4,695,256 2,347,628 1,173,814 586,907 1,760,722 880,361 2,641,084 1,320,542 660,271 1,980,814 990,407 2,971,222 1,485,611 4,456,834 2,228,417 6,685,252 3,342,626 1,671,313 5,013,940 2,506,970 1,253,485 3,760,456 1,880,228 940,114 470,057 1,410,172 705,086 352,543 1,057,630 528,815 1,586,446 793,223 2,379,670 1,189,835 3,569,506 1,784,753 5,354,260 2,677,130 1,338,565 4,015,696 2,007,848 1,003,924 501,962 250,981 752,944 376,472 188,236 94,118 47,059 141,178 70,589 211,768 105,884 52,942 26,471 79,414 39,707 119,122 59,561

More profiles

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