λ
Sigma Notebook

9,802,404

22 × 33 × 17 × 19 × 281
Abundant Even Composite

9,802,404 is even and not a perfect square. Its factorization is 2^2 × 3^3 × 17 × 19 × 281 and its 96 divisors sum to 28,425,600.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 17 × 19 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 28,425,600
Proper Divisor Sum 18,623,196
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9802391 ← → #9802433

Radix Representation

Decimal 9802404
Binary 100101011001001010100100 (24 bits)
Octal 0o45311244
Hexadecimal 0x9592A4

Divisor Catalog (60 of 96)

1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 102 108 114 153 171 204 228 281 306 323 342 459 513 562 612 646 684 843 918 969 1,026 1,124 1,292 1,686 1,836 1,938 2,052 2,529 2,907 3,372 3,876 4,777 5,058 5,339 5,814 7,587 8,721 9,554 10,116 10,678 11,628

Collatz Trajectory (238 steps to reach 1)

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

9,802,404 4,901,202 2,450,601 7,351,804 3,675,902 1,837,951 5,513,854 2,756,927 8,270,782 4,135,391 12,406,174 6,203,087 18,609,262 9,304,631 27,913,894 13,956,947 41,870,842 20,935,421 62,806,264 31,403,132 15,701,566 7,850,783 23,552,350 11,776,175 35,328,526 17,664,263 52,992,790 26,496,395 79,489,186 39,744,593 119,233,780 59,616,890 29,808,445 89,425,336 44,712,668 22,356,334 11,178,167 33,534,502 16,767,251 50,301,754 25,150,877 75,452,632 37,726,316 18,863,158 9,431,579 28,294,738 14,147,369 42,442,108 21,221,054 10,610,527 31,831,582 15,915,791 47,747,374 23,873,687 71,621,062 35,810,531 107,431,594 53,715,797 161,147,392 80,573,696

More profiles

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