2,287,120

2⁴ × 5 × 11 × 23 × 113

Starting at 2,287,120, the Collatz iteration reaches 1 after 130 steps. The first transition is 1143560; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 23 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 6,106,752

Proper Divisor Sum 3,819,632

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2287111 ← → #2287121

Radix Representation

Decimal	2287120
Binary	1000101110011000010000 (22 bits)
Octal	0o10563020
Hexadecimal	0x22E610

Divisor Catalog (60 of 80)

1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 113 115 176 184 220 226 230 253 368 440 452 460 506 565 880 904 920 1,012 1,130 1,243 1,265 1,808 1,840 2,024 2,260 2,486 2,530 2,599 4,048 4,520 4,972 5,060 5,198 6,215 9,040 9,944 10,120 10,396 12,430 12,995 19,888

Collatz Trajectory (130 steps to reach 1)

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

2,287,120 1,143,560 571,780 285,890 142,945 428,836 214,418 107,209 321,628 160,814 80,407 241,222 120,611 361,834 180,917 542,752 271,376 135,688 67,844 33,922 16,961 50,884 25,442 12,721 38,164 19,082 9,541 28,624 14,312 7,156 3,578 1,789 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 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

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