λ
Sigma Notebook

9,696,876

22 × 3 × 7 × 241 × 479
Abundant Even Composite

9,696,876 is even and not a perfect square. Its factorization is 2^2 × 3 × 7 × 241 × 479 and its 48 divisors sum to 26,019,840.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 241 × 479
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,019,840
Proper Divisor Sum 16,322,964
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #9696871 ← → #9696877

Radix Representation

Decimal 9696876
Binary 100100111111011001101100 (24 bits)
Octal 0o44773154
Hexadecimal 0x93F66C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 241 479 482 723 958 964 1,437 1,446 1,687 1,916 2,874 2,892 3,353 3,374 5,061 5,748 6,706 6,748 10,059 10,122 13,412 20,118 20,244 40,236 115,439 230,878 346,317 461,756 692,634 808,073 1,385,268 1,616,146 2,424,219 3,232,292 4,848,438 9,696,876

Collatz Trajectory (176 steps to reach 1)

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

9,696,876 4,848,438 2,424,219 7,272,658 3,636,329 10,908,988 5,454,494 2,727,247 8,181,742 4,090,871 12,272,614 6,136,307 18,408,922 9,204,461 27,613,384 13,806,692 6,903,346 3,451,673 10,355,020 5,177,510 2,588,755 7,766,266 3,883,133 11,649,400 5,824,700 2,912,350 1,456,175 4,368,526 2,184,263 6,552,790 3,276,395 9,829,186 4,914,593 14,743,780 7,371,890 3,685,945 11,057,836 5,528,918 2,764,459 8,293,378 4,146,689 12,440,068 6,220,034 3,110,017 9,330,052 4,665,026 2,332,513 6,997,540 3,498,770 1,749,385 5,248,156 2,624,078 1,312,039 3,936,118 1,968,059 5,904,178 2,952,089 8,856,268 4,428,134 2,214,067

More profiles

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