16,482,000

2⁴ × 3 × 5³ × 41 × 67

16,482,000 factors as 2^4 × 3 × 5^3 × 41 × 67. Its 160 positive divisors give a proper-divisor sum of 38,764,464, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^3 × 41 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 55,246,464

Proper Divisor Sum 38,764,464

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #16481981 ← → #16482023

Radix Representation

Decimal	16482000
Binary	111110110111111011010000 (24 bits)
Octal	0o76677320
Hexadecimal	0xFB7ED0

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 67 75 80 82 100 120 123 125 134 150 164 200 201 205 240 246 250 268 300 328 335 375 400 402 410 492 500 536 600 615 656 670 750 804 820 984 1,000 1,005 1,025 1,072

Collatz Trajectory (200 steps to reach 1)

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

16,482,000 8,241,000 4,120,500 2,060,250 1,030,125 3,090,376 1,545,188 772,594 386,297 1,158,892 579,446 289,723 869,170 434,585 1,303,756 651,878 325,939 977,818 488,909 1,466,728 733,364 366,682 183,341 550,024 275,012 137,506 68,753 206,260 103,130 51,565 154,696 77,348 38,674 19,337 58,012 29,006 14,503 43,510 21,755 65,266 32,633 97,900 48,950 24,475 73,426 36,713 110,140 55,070 27,535 82,606 41,303 123,910 61,955 185,866 92,933 278,800 139,400 69,700 34,850 17,425

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