λ
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1,234,980

22 × 33 × 5 × 2287
Abundant Even Composite

1,234,980 factors as 2^2 × 3^3 × 5 × 2287. Its 48 positive divisors give a proper-divisor sum of 2,608,860, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 2287
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,843,840
Proper Divisor Sum 2,608,860
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1234969 ← → #1234991

Radix Representation

Decimal 1234980
Binary 100101101100000100100 (21 bits)
Octal 0o4554044
Hexadecimal 0x12D824

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2,287 4,574 6,861 9,148 11,435 13,722 20,583 22,870 27,444 34,305 41,166 45,740 61,749 68,610 82,332 102,915 123,498 137,220 205,830 246,996 308,745 411,660 617,490 1,234,980

Collatz Trajectory (116 steps to reach 1)

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

1,234,980 617,490 308,745 926,236 463,118 231,559 694,678 347,339 1,042,018 521,009 1,563,028 781,514 390,757 1,172,272 586,136 293,068 146,534 73,267 219,802 109,901 329,704 164,852 82,426 41,213 123,640 61,820 30,910 15,455 46,366 23,183 69,550 34,775 104,326 52,163 156,490 78,245 234,736 117,368 58,684 29,342 14,671 44,014 22,007 66,022 33,011 99,034 49,517 148,552 74,276 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006

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