λ
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377,600

28 × 52 × 59
Abundant Even Composite

377,600 factors as 2^8 × 5^2 × 59. Its 54 positive divisors give a proper-divisor sum of 572,860, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^8 × 5^2 × 59
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 950,460
Proper Divisor Sum 572,860
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #377599 ← → #377617

Radix Representation

Decimal 377600
Binary 1011100001100000000 (19 bits)
Octal 0o1341400
Hexadecimal 0x5C300

Divisor Catalog (54)

1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 128 160 200 236 256 295 320 400 472 590 640 800 944 1,180 1,280 1,475 1,600 1,888 2,360 2,950 3,200 3,776 4,720 5,900 6,400 7,552 9,440 11,800 15,104 18,880 23,600 37,760 47,200 75,520 94,400 188,800 377,600

Collatz Trajectory (148 steps to reach 1)

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

377,600 188,800 94,400 47,200 23,600 11,800 5,900 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412

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