λ
Sigma Notebook

9,267,300

22 × 32 × 52 × 7 × 1471
Abundant Even Composite

9,267,300 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 5^2 × 7 × 1471 and its 108 divisors sum to 33,220,096.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 7 × 1471
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 33,220,096
Proper Divisor Sum 23,952,796
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9267299 ← → #9267301

Radix Representation

Decimal 9267300
Binary 100011010110100001100100 (24 bits)
Octal 0o43264144
Hexadecimal 0x8D6864

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1,050 1,260 1,471 1,575 2,100 2,942 3,150 4,413 5,884 6,300 7,355 8,826

Collatz Trajectory (101 steps to reach 1)

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

9,267,300 4,633,650 2,316,825 6,950,476 3,475,238 1,737,619 5,212,858 2,606,429 7,819,288 3,909,644 1,954,822 977,411 2,932,234 1,466,117 4,398,352 2,199,176 1,099,588 549,794 274,897 824,692 412,346 206,173 618,520 309,260 154,630 77,315 231,946 115,973 347,920 173,960 86,980 43,490 21,745 65,236 32,618 16,309 48,928 24,464 12,232 6,116 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636

More profiles

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