λ
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485,472

25 × 3 × 13 × 389
Abundant Even Composite

485,472 factors as 2^5 × 3 × 13 × 389. Its 48 positive divisors give a proper-divisor sum of 890,448, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,375,920
Proper Divisor Sum 890,448
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #485447 ← → #485479

Radix Representation

Decimal 485472
Binary 1110110100001100000 (19 bits)
Octal 0o1664140
Hexadecimal 0x76860

Divisor Catalog (48)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 389 416 624 778 1,167 1,248 1,556 2,334 3,112 4,668 5,057 6,224 9,336 10,114 12,448 15,171 18,672 20,228 30,342 37,344 40,456 60,684 80,912 121,368 161,824 242,736 485,472

Collatz Trajectory (138 steps to reach 1)

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

485,472 242,736 121,368 60,684 30,342 15,171 45,514 22,757 68,272 34,136 17,068 8,534 4,267 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

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