489,804

2² × 3 × 7⁴ × 17

489,804 factors as 2^2 × 3 × 7^4 × 17. Its 60 positive divisors give a proper-divisor sum of 921,900, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^4 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 1,411,704

Proper Divisor Sum 921,900

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #489803 ← → #489817

Radix Representation

Decimal	489804
Binary	1110111100101001100 (19 bits)
Octal	0o1674514
Hexadecimal	0x7794C

Divisor Catalog (60)

1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 343 357 476 588 686 714 833 1,029 1,372 1,428 1,666 2,058 2,401 2,499 3,332 4,116 4,802 4,998 5,831 7,203 9,604 9,996 11,662 14,406 17,493 23,324 28,812 34,986 40,817 69,972 81,634 122,451 163,268 244,902 489,804

Collatz Trajectory (182 steps to reach 1)

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

489,804 244,902 122,451 367,354 183,677 551,032 275,516 137,758 68,879 206,638 103,319 309,958 154,979 464,938 232,469 697,408 348,704 174,352 87,176 43,588 21,794 10,897 32,692 16,346 8,173 24,520 12,260 6,130 3,065 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112

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