λ
Sigma Notebook

9,976,302

2 × 32 × 72 × 11311
Abundant Even Composite

9,976,302 is even and not a perfect square. Its factorization is 2 × 3^2 × 7^2 × 11311 and its 36 divisors sum to 25,146,576.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 11311
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 25,146,576
Proper Divisor Sum 15,170,274
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9976289 ← → #9976303

Radix Representation

Decimal 9976302
Binary 100110000011100111101110 (24 bits)
Octal 0o46034756
Hexadecimal 0x9839EE

Divisor Catalog (36)

1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 11,311 22,622 33,933 67,866 79,177 101,799 158,354 203,598 237,531 475,062 554,239 712,593 1,108,478 1,425,186 1,662,717 3,325,434 4,988,151 9,976,302

Collatz Trajectory (207 steps to reach 1)

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

9,976,302 4,988,151 14,964,454 7,482,227 22,446,682 11,223,341 33,670,024 16,835,012 8,417,506 4,208,753 12,626,260 6,313,130 3,156,565 9,469,696 4,734,848 2,367,424 1,183,712 591,856 295,928 147,964 73,982 36,991 110,974 55,487 166,462 83,231 249,694 124,847 374,542 187,271 561,814 280,907 842,722 421,361 1,264,084 632,042 316,021 948,064 474,032 237,016 118,508 59,254 29,627 88,882 44,441 133,324 66,662 33,331 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094 10,547

More profiles

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