λ
Modular Archive

8,443,624

23 × 7 × 150779
Abundant Even Composite

The decimal integer 8,443,624 is 100000001101011011101000 in binary (24 bits), 40153350 in octal and 80D6E8 in hexadecimal. Its digit sum is 31.

Prime Factor Structure

Factorization String 2^3 × 7 × 150779
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,093,600
Proper Divisor Sum 9,649,976
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8443621 ← → #8443627

Radix Representation

Decimal 8443624
Binary 100000001101011011101000 (24 bits)
Octal 0o40153350
Hexadecimal 0x80D6E8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 150,779 301,558 603,116 1,055,453 1,206,232 2,110,906 4,221,812 8,443,624

Collatz Trajectory (106 steps to reach 1)

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

8,443,624 4,221,812 2,110,906 1,055,453 3,166,360 1,583,180 791,590 395,795 1,187,386 593,693 1,781,080 890,540 445,270 222,635 667,906 333,953 1,001,860 500,930 250,465 751,396 375,698 187,849 563,548 281,774 140,887 422,662 211,331 633,994 316,997 950,992 475,496 237,748 118,874 59,437 178,312 89,156 44,578 22,289 66,868 33,434 16,717 50,152 25,076 12,538 6,269 18,808 9,404 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930

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