λ
Integer Codex

9,318,864

24 × 3 × 232 × 367
Abundant Even Composite

For 9,318,864, the 60 positive divisors have a total of 25,234,496. Removing 9,318,864 leaves 15,915,632, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3 × 23^2 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 25,234,496
Proper Divisor Sum 15,915,632
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9318853 ← → #9318893

Radix Representation

Decimal 9318864
Binary 100011100011000111010000 (24 bits)
Octal 0o43430720
Hexadecimal 0x8E31D0

Divisor Catalog (60)

1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 367 368 529 552 734 1,058 1,101 1,104 1,468 1,587 2,116 2,202 2,936 3,174 4,232 4,404 5,872 6,348 8,441 8,464 8,808 12,696 16,882 17,616 25,323 25,392 33,764 50,646 67,528 101,292 135,056 194,143 202,584 388,286 405,168 582,429 776,572 1,164,858 1,553,144 2,329,716 3,106,288 4,659,432 9,318,864

Collatz Trajectory (75 steps to reach 1)

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

9,318,864 4,659,432 2,329,716 1,164,858 582,429 1,747,288 873,644 436,822 218,411 655,234 327,617 982,852 491,426 245,713 737,140 368,570 184,285 552,856 276,428 138,214 69,107 207,322 103,661 310,984 155,492 77,746 38,873 116,620 58,310 29,155 87,466 43,733 131,200 65,600 32,800 16,400 8,200 4,100 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46

More profiles

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