2,673,996

2² × 3 × 13 × 61 × 281

For 2,673,996, the 48 positive divisors have a total of 6,853,728. Removing 2,673,996 leaves 4,179,732, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 61 × 281

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,853,728

Proper Divisor Sum 4,179,732

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #2673991 ← → #2674013

Radix Representation

Decimal	2673996
Binary	1010001100110101001100 (22 bits)
Octal	0o12146514
Hexadecimal	0x28CD4C

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 281 366 562 732 793 843 1,124 1,586 1,686 2,379 3,172 3,372 3,653 4,758 7,306 9,516 10,959 14,612 17,141 21,918 34,282 43,836 51,423 68,564 102,846 205,692 222,833 445,666 668,499 891,332 1,336,998 2,673,996

Collatz Trajectory (143 steps to reach 1)

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

2,673,996 1,336,998 668,499 2,005,498 1,002,749 3,008,248 1,504,124 752,062 376,031 1,128,094 564,047 1,692,142 846,071 2,538,214 1,269,107 3,807,322 1,903,661 5,710,984 2,855,492 1,427,746 713,873 2,141,620 1,070,810 535,405 1,606,216 803,108 401,554 200,777 602,332 301,166 150,583 451,750 225,875 677,626 338,813 1,016,440 508,220 254,110 127,055 381,166 190,583 571,750 285,875 857,626 428,813 1,286,440 643,220 321,610 160,805 482,416 241,208 120,604 60,302 30,151 90,454 45,227 135,682 67,841 203,524 101,762

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