λ
Sigma Notebook

9,039,624

23 × 3 × 11 × 97 × 353
Abundant Even Composite

9,039,624 is even and not a perfect square. Its factorization is 2^3 × 3 × 11 × 97 × 353 and its 64 divisors sum to 24,978,240.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 97 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 24,978,240
Proper Divisor Sum 15,938,616
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9039623 ← → #9039629

Radix Representation

Decimal 9039624
Binary 100010011110111100001000 (24 bits)
Octal 0o42367410
Hexadecimal 0x89EF08

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 132 194 264 291 353 388 582 706 776 1,059 1,067 1,164 1,412 2,118 2,134 2,328 2,824 3,201 3,883 4,236 4,268 6,402 7,766 8,472 8,536 11,649 12,804 15,532 23,298 25,608 31,064 34,241 46,596 68,482 93,192 102,723 136,964 205,446 273,928 376,651 410,892 753,302 821,784 1,129,953 1,506,604

Collatz Trajectory (163 steps to reach 1)

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

9,039,624 4,519,812 2,259,906 1,129,953 3,389,860 1,694,930 847,465 2,542,396 1,271,198 635,599 1,906,798 953,399 2,860,198 1,430,099 4,290,298 2,145,149 6,435,448 3,217,724 1,608,862 804,431 2,413,294 1,206,647 3,619,942 1,809,971 5,429,914 2,714,957 8,144,872 4,072,436 2,036,218 1,018,109 3,054,328 1,527,164 763,582 381,791 1,145,374 572,687 1,718,062 859,031 2,577,094 1,288,547 3,865,642 1,932,821 5,798,464 2,899,232 1,449,616 724,808 362,404 181,202 90,601 271,804 135,902 67,951 203,854 101,927 305,782 152,891 458,674 229,337 688,012 344,006

More profiles

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