λ
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Atlas › Integer Profiles › Node 24,676,096

24,676,096

28 × 41 × 2351
Abundant Even Composite

24,676,096 factors as 2^8 × 41 × 2351. Its 36 positive divisors give a proper-divisor sum of 25,802,528, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^8 × 41 × 2351
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 50,478,624
Proper Divisor Sum 25,802,528
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #24676063 ← → #24676097

Radix Representation

Decimal 24676096
Binary 1011110001000011100000000 (25 bits)
Octal 0o136103400
Hexadecimal 0x1788700

Divisor Catalog (36)

1 2 4 8 16 32 41 64 82 128 164 256 328 656 1,312 2,351 2,624 4,702 5,248 9,404 10,496 18,808 37,616 75,232 96,391 150,464 192,782 300,928 385,564 601,856 771,128 1,542,256 3,084,512 6,169,024 12,338,048 24,676,096

Collatz Trajectory (105 steps to reach 1)

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

24,676,096 12,338,048 6,169,024 3,084,512 1,542,256 771,128 385,564 192,782 96,391 289,174 144,587 433,762 216,881 650,644 325,322 162,661 487,984 243,992 121,996 60,998 30,499 91,498 45,749 137,248 68,624 34,312 17,156 8,578 4,289 12,868 6,434 3,217 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 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

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