λ
Prime Ledger

9,639,448

23 × 7 × 13 × 13241
Abundant Even Composite

9,639,448 has the prime decomposition 2^3 × 7 × 13 × 13241. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 13241
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,246,560
Proper Divisor Sum 12,607,112
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9639437 ← → #9639449

Radix Representation

Decimal 9639448
Binary 100100110001011000011000 (24 bits)
Octal 0o44613030
Hexadecimal 0x931618

Divisor Catalog (32)

1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 13,241 26,482 52,964 92,687 105,928 172,133 185,374 344,266 370,748 688,532 741,496 1,204,931 1,377,064 2,409,862 4,819,724 9,639,448

Collatz Trajectory (132 steps to reach 1)

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

9,639,448 4,819,724 2,409,862 1,204,931 3,614,794 1,807,397 5,422,192 2,711,096 1,355,548 677,774 338,887 1,016,662 508,331 1,524,994 762,497 2,287,492 1,143,746 571,873 1,715,620 857,810 428,905 1,286,716 643,358 321,679 965,038 482,519 1,447,558 723,779 2,171,338 1,085,669 3,257,008 1,628,504 814,252 407,126 203,563 610,690 305,345 916,036 458,018 229,009 687,028 343,514 171,757 515,272 257,636 128,818 64,409 193,228 96,614 48,307 144,922 72,461 217,384 108,692 54,346 27,173 81,520 40,760 20,380 10,190

More profiles

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