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Atlas › Integer Profiles › Node 2,332,230

2,332,230

2 × 3 × 5 × 172 × 269
Abundant Even Composite

2,332,230 factors as 2 × 3 × 5 × 17^2 × 269. Its 48 positive divisors give a proper-divisor sum of 3,635,850, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 17^2 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,968,080
Proper Divisor Sum 3,635,850
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2332219 ← → #2332237

Radix Representation

Decimal 2332230
Binary 1000111001011001000110 (22 bits)
Octal 0o10713106
Hexadecimal 0x239646

Divisor Catalog (48)

1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 269 289 510 538 578 807 867 1,345 1,445 1,614 1,734 2,690 2,890 4,035 4,335 4,573 8,070 8,670 9,146 13,719 22,865 27,438 45,730 68,595 77,741 137,190 155,482 233,223 388,705 466,446 777,410 1,166,115 2,332,230

Collatz Trajectory (148 steps to reach 1)

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

2,332,230 1,166,115 3,498,346 1,749,173 5,247,520 2,623,760 1,311,880 655,940 327,970 163,985 491,956 245,978 122,989 368,968 184,484 92,242 46,121 138,364 69,182 34,591 103,774 51,887 155,662 77,831 233,494 116,747 350,242 175,121 525,364 262,682 131,341 394,024 197,012 98,506 49,253 147,760 73,880 36,940 18,470 9,235 27,706 13,853 41,560 20,780 10,390 5,195 15,586 7,793 23,380 11,690 5,845 17,536 8,768 4,384 2,192 1,096 548 274 137 412

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