λ
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7,306,944

26 × 3 × 19 × 2003
Abundant Even Composite

7,306,944 factors as 2^6 × 3 × 19 × 2003. Its 56 positive divisors give a proper-divisor sum of 13,053,696, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 19 × 2003
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 20,360,640
Proper Divisor Sum 13,053,696
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7306933 ← → #7306961

Radix Representation

Decimal 7306944
Binary 11011110111111011000000 (23 bits)
Octal 0o33677300
Hexadecimal 0x6F7EC0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1,216 1,824 2,003 3,648 4,006 6,009 8,012 12,018 16,024 24,036 32,048 38,057 48,072 64,096 76,114 96,144 114,171 128,192 152,228 192,288 228,342 304,456 384,576 456,684 608,912 913,368 1,217,824 1,826,736 2,435,648 3,653,472 7,306,944

Collatz Trajectory (204 steps to reach 1)

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

7,306,944 3,653,472 1,826,736 913,368 456,684 228,342 114,171 342,514 171,257 513,772 256,886 128,443 385,330 192,665 577,996 288,998 144,499 433,498 216,749 650,248 325,124 162,562 81,281 243,844 121,922 60,961 182,884 91,442 45,721 137,164 68,582 34,291 102,874 51,437 154,312 77,156 38,578 19,289 57,868 28,934 14,467 43,402 21,701 65,104 32,552 16,276 8,138 4,069 12,208 6,104 3,052 1,526 763 2,290 1,145 3,436 1,718 859 2,578 1,289

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