λ
Modular Archive

8,465,024

27 × 41 × 1613
Abundant Even Composite

The decimal integer 8,465,024 is 100000010010101010000000 in binary (24 bits), 40225200 in octal and 812A80 in hexadecimal. Its digit sum is 29.

Prime Factor Structure

Factorization String 2^7 × 41 × 1613
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,285,940
Proper Divisor Sum 8,820,916
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8465003 ← → #8465033

Radix Representation

Decimal 8465024
Binary 100000010010101010000000 (24 bits)
Octal 0o40225200
Hexadecimal 0x812A80

Divisor Catalog (32)

1 2 4 8 16 32 41 64 82 128 164 328 656 1,312 1,613 2,624 3,226 5,248 6,452 12,904 25,808 51,616 66,133 103,232 132,266 206,464 264,532 529,064 1,058,128 2,116,256 4,232,512 8,465,024

Collatz Trajectory (168 steps to reach 1)

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

8,465,024 4,232,512 2,116,256 1,058,128 529,064 264,532 132,266 66,133 198,400 99,200 49,600 24,800 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250

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