λ
Sigma Notebook

9,634,840

23 × 5 × 79 × 3049
Abundant Even Composite

9,634,840 is even and not a perfect square. Its factorization is 2^3 × 5 × 79 × 3049 and its 32 divisors sum to 21,960,000.

Prime Factor Structure

Factorization String 2^3 × 5 × 79 × 3049
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,960,000
Proper Divisor Sum 12,325,160
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9634829 ← → #9634841

Radix Representation

Decimal 9634840
Binary 100100110000010000011000 (24 bits)
Octal 0o44602030
Hexadecimal 0x930418

Divisor Catalog (32)

1 2 4 5 8 10 20 40 79 158 316 395 632 790 1,580 3,049 3,160 6,098 12,196 15,245 24,392 30,490 60,980 121,960 240,871 481,742 963,484 1,204,355 1,926,968 2,408,710 4,817,420 9,634,840

Collatz Trajectory (70 steps to reach 1)

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

9,634,840 4,817,420 2,408,710 1,204,355 3,613,066 1,806,533 5,419,600 2,709,800 1,354,900 677,450 338,725 1,016,176 508,088 254,044 127,022 63,511 190,534 95,267 285,802 142,901 428,704 214,352 107,176 53,588 26,794 13,397 40,192 20,096 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

More profiles

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