λ
Sigma Notebook

9,480,306

2 × 3 × 11 × 3792
Abundant Even Composite

9,480,306 is even and not a perfect square. Its factorization is 2 × 3 × 11 × 379^2 and its 24 divisors sum to 20,739,024.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 379^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,739,024
Proper Divisor Sum 11,258,718
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9480293 ← → #9480311

Radix Representation

Decimal 9480306
Binary 100100001010100001110010 (24 bits)
Octal 0o44124162
Hexadecimal 0x90A872

Divisor Catalog (24)

1 2 3 6 11 22 33 66 379 758 1,137 2,274 4,169 8,338 12,507 25,014 143,641 287,282 430,923 861,846 1,580,051 3,160,102 4,740,153 9,480,306

Collatz Trajectory (269 steps to reach 1)

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

9,480,306 4,740,153 14,220,460 7,110,230 3,555,115 10,665,346 5,332,673 15,998,020 7,999,010 3,999,505 11,998,516 5,999,258 2,999,629 8,998,888 4,499,444 2,249,722 1,124,861 3,374,584 1,687,292 843,646 421,823 1,265,470 632,735 1,898,206 949,103 2,847,310 1,423,655 4,270,966 2,135,483 6,406,450 3,203,225 9,609,676 4,804,838 2,402,419 7,207,258 3,603,629 10,810,888 5,405,444 2,702,722 1,351,361 4,054,084 2,027,042 1,013,521 3,040,564 1,520,282 760,141 2,280,424 1,140,212 570,106 285,053 855,160 427,580 213,790 106,895 320,686 160,343 481,030 240,515 721,546 360,773

More profiles

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