λ
Harmonic Matrix

665,489

11 × 101 × 599
Deficient Odd Composite

665,489 has digital root 2. The neighboring primes are 665479 and 665501; its proper-divisor sum differs from the starting integer by -596,578.

Prime Factor Structure

Factorization String 11 × 101 × 599
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 734,400
Proper Divisor Sum 68,911
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #665479 ← → #665501

Radix Representation

Decimal 665489
Binary 10100010011110010001 (20 bits)
Octal 0o2423621
Hexadecimal 0xA2791

Divisor Catalog (8)

1 11 101 599 1,111 6,589 60,499 665,489

Collatz Trajectory (92 steps to reach 1)

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

665,489 1,996,468 998,234 499,117 1,497,352 748,676 374,338 187,169 561,508 280,754 140,377 421,132 210,566 105,283 315,850 157,925 473,776 236,888 118,444 59,222 29,611 88,834 44,417 133,252 66,626 33,313 99,940 49,970 24,985 74,956 37,478 18,739 56,218 28,109 84,328 42,164 21,082 10,541 31,624 15,812 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118

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