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11,628,890

2 × 5 × 7 × 132 × 983
Abundant Even Composite

11,628,890 factors as 2 × 5 × 7 × 13^2 × 983. Its 48 positive divisors give a proper-divisor sum of 14,301,478, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13^2 × 983
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,930,368
Proper Divisor Sum 14,301,478
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #11628847 ← → #11628907

Radix Representation

Decimal 11628890
Binary 101100010111000101011010 (24 bits)
Octal 0o54270532
Hexadecimal 0xB1715A

Divisor Catalog (48)

1 2 5 7 10 13 14 26 35 65 70 91 130 169 182 338 455 845 910 983 1,183 1,690 1,966 2,366 4,915 5,915 6,881 9,830 11,830 12,779 13,762 25,558 34,405 63,895 68,810 89,453 127,790 166,127 178,906 332,254 447,265 830,635 894,530 1,162,889 1,661,270 2,325,778 5,814,445 11,628,890

Collatz Trajectory (153 steps to reach 1)

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

11,628,890 5,814,445 17,443,336 8,721,668 4,360,834 2,180,417 6,541,252 3,270,626 1,635,313 4,905,940 2,452,970 1,226,485 3,679,456 1,839,728 919,864 459,932 229,966 114,983 344,950 172,475 517,426 258,713 776,140 388,070 194,035 582,106 291,053 873,160 436,580 218,290 109,145 327,436 163,718 81,859 245,578 122,789 368,368 184,184 92,092 46,046 23,023 69,070 34,535 103,606 51,803 155,410 77,705 233,116 116,558 58,279 174,838 87,419 262,258 131,129 393,388 196,694 98,347 295,042 147,521 442,564

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