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1,715,600

24 × 52 × 4289
Abundant Even Composite

1,715,600 factors as 2^4 × 5^2 × 4289. Its 30 positive divisors give a proper-divisor sum of 2,407,090, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 4289
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 4,122,690
Proper Divisor Sum 2,407,090
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1715599 ← → #1715603

Radix Representation

Decimal 1715600
Binary 110100010110110010000 (21 bits)
Octal 0o6426620
Hexadecimal 0x1A2D90

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 4,289 8,578 17,156 21,445 34,312 42,890 68,624 85,780 107,225 171,560 214,450 343,120 428,900 857,800 1,715,600

Collatz Trajectory (127 steps to reach 1)

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

1,715,600 857,800 428,900 214,450 107,225 321,676 160,838 80,419 241,258 120,629 361,888 180,944 90,472 45,236 22,618 11,309 33,928 16,964 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906

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