665,567

7² × 17² × 47

For 665,567, the 18 positive divisors have a total of 839,952. Removing 665,567 leaves 174,385, which gives the deficient classification.

Prime Factor Structure

Factorization String 7^2 × 17^2 × 47

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 839,952

Proper Divisor Sum 174,385

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #665563 ← → #665569

Radix Representation

Decimal	665567
Binary	10100010011111011111 (20 bits)
Octal	0o2423737
Hexadecimal	0xA27DF

Divisor Catalog (18)

1 7 17 47 49 119 289 329 799 833 2,023 2,303 5,593 13,583 14,161 39,151 95,081 665,567

Collatz Trajectory (216 steps to reach 1)

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

665,567 1,996,702 998,351 2,995,054 1,497,527 4,492,582 2,246,291 6,738,874 3,369,437 10,108,312 5,054,156 2,527,078 1,263,539 3,790,618 1,895,309 5,685,928 2,842,964 1,421,482 710,741 2,132,224 1,066,112 533,056 266,528 133,264 66,632 33,316 16,658 8,329 24,988 12,494 6,247 18,742 9,371 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223

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