λ
Harmonic Matrix

1,684,587

3 × 561529
Deficient Odd Composite

1,684,587 has digital root 3. The neighboring primes are 1684577 and 1684591; its proper-divisor sum differs from the starting integer by -1,123,054.

Prime Factor Structure

Factorization String 3 × 561529
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,246,120
Proper Divisor Sum 561,533
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1684577 ← → #1684591

Radix Representation

Decimal 1684587
Binary 110011011010001101011 (21 bits)
Octal 0o6332153
Hexadecimal 0x19B46B

Divisor Catalog (4)

1 3 561,529 1,684,587

Collatz Trajectory (220 steps to reach 1)

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

1,684,587 5,053,762 2,526,881 7,580,644 3,790,322 1,895,161 5,685,484 2,842,742 1,421,371 4,264,114 2,132,057 6,396,172 3,198,086 1,599,043 4,797,130 2,398,565 7,195,696 3,597,848 1,798,924 899,462 449,731 1,349,194 674,597 2,023,792 1,011,896 505,948 252,974 126,487 379,462 189,731 569,194 284,597 853,792 426,896 213,448 106,724 53,362 26,681 80,044 40,022 20,011 60,034 30,017 90,052 45,026 22,513 67,540 33,770 16,885 50,656 25,328 12,664 6,332 3,166 1,583 4,750 2,375 7,126 3,563 10,690

More profiles

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