λ
Sigma Notebook

9,646,960

24 × 5 × 120587
Abundant Even Composite

9,646,960 is even and not a perfect square. Its factorization is 2^4 × 5 × 120587 and its 20 divisors sum to 22,429,368.

Prime Factor Structure

Factorization String 2^4 × 5 × 120587
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 22,429,368
Proper Divisor Sum 12,782,408
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9646957 ← → #9646961

Radix Representation

Decimal 9646960
Binary 100100110011001101110000 (24 bits)
Octal 0o44631560
Hexadecimal 0x933370

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 120,587 241,174 482,348 602,935 964,696 1,205,870 1,929,392 2,411,740 4,823,480 9,646,960

Collatz Trajectory (176 steps to reach 1)

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

9,646,960 4,823,480 2,411,740 1,205,870 602,935 1,808,806 904,403 2,713,210 1,356,605 4,069,816 2,034,908 1,017,454 508,727 1,526,182 763,091 2,289,274 1,144,637 3,433,912 1,716,956 858,478 429,239 1,287,718 643,859 1,931,578 965,789 2,897,368 1,448,684 724,342 362,171 1,086,514 543,257 1,629,772 814,886 407,443 1,222,330 611,165 1,833,496 916,748 458,374 229,187 687,562 343,781 1,031,344 515,672 257,836 128,918 64,459 193,378 96,689 290,068 145,034 72,517 217,552 108,776 54,388 27,194 13,597 40,792 20,396 10,198

More profiles

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