λ
Prime Ledger

9,002,898

2 × 32 × 53 × 9437
Abundant Even Composite

9,002,898 has the prime decomposition 2 × 3^2 × 53 × 9437. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 53 × 9437
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,876,428
Proper Divisor Sum 10,873,530
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9002893 ← → #9002909

Radix Representation

Decimal 9002898
Binary 100010010101111110010010 (24 bits)
Octal 0o42257622
Hexadecimal 0x895F92

Divisor Catalog (24)

1 2 3 6 9 18 53 106 159 318 477 954 9,437 18,874 28,311 56,622 84,933 169,866 500,161 1,000,322 1,500,483 3,000,966 4,501,449 9,002,898

Collatz Trajectory (137 steps to reach 1)

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

9,002,898 4,501,449 13,504,348 6,752,174 3,376,087 10,128,262 5,064,131 15,192,394 7,596,197 22,788,592 11,394,296 5,697,148 2,848,574 1,424,287 4,272,862 2,136,431 6,409,294 3,204,647 9,613,942 4,806,971 14,420,914 7,210,457 21,631,372 10,815,686 5,407,843 16,223,530 8,111,765 24,335,296 12,167,648 6,083,824 3,041,912 1,520,956 760,478 380,239 1,140,718 570,359 1,711,078 855,539 2,566,618 1,283,309 3,849,928 1,924,964 962,482 481,241 1,443,724 721,862 360,931 1,082,794 541,397 1,624,192 812,096 406,048 203,024 101,512 50,756 25,378 12,689 38,068 19,034 9,517

More profiles

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