λ
Integer Codex

8,999,484

22 × 3 × 13 × 57689
Abundant Even Composite

For 8,999,484, the 24 positive divisors have a total of 22,614,480. Removing 8,999,484 leaves 13,614,996, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 57689
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,614,480
Proper Divisor Sum 13,614,996
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #8999467 ← → #8999489

Radix Representation

Decimal 8999484
Binary 100010010101001000111100 (24 bits)
Octal 0o42251074
Hexadecimal 0x89523C

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 57,689 115,378 173,067 230,756 346,134 692,268 749,957 1,499,914 2,249,871 2,999,828 4,499,742 8,999,484

Collatz Trajectory (137 steps to reach 1)

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

8,999,484 4,499,742 2,249,871 6,749,614 3,374,807 10,124,422 5,062,211 15,186,634 7,593,317 22,779,952 11,389,976 5,694,988 2,847,494 1,423,747 4,271,242 2,135,621 6,406,864 3,203,432 1,601,716 800,858 400,429 1,201,288 600,644 300,322 150,161 450,484 225,242 112,621 337,864 168,932 84,466 42,233 126,700 63,350 31,675 95,026 47,513 142,540 71,270 35,635 106,906 53,453 160,360 80,180 40,090 20,045 60,136 30,068 15,034 7,517 22,552 11,276 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586

More profiles

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