λ
Sigma Notebook

8,524,844

22 × 19 × 223 × 503
Deficient Even Composite

8,524,844 is even and not a perfect square. Its factorization is 2^2 × 19 × 223 × 503 and its 24 divisors sum to 15,805,440.

Prime Factor Structure

Factorization String 2^2 × 19 × 223 × 503
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,805,440
Proper Divisor Sum 7,280,596
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8524823 ← → #8524853

Radix Representation

Decimal 8524844
Binary 100000100001010000101100 (24 bits)
Octal 0o40412054
Hexadecimal 0x82142C

Divisor Catalog (24)

1 2 4 19 38 76 223 446 503 892 1,006 2,012 4,237 8,474 9,557 16,948 19,114 38,228 112,169 224,338 448,676 2,131,211 4,262,422 8,524,844

Collatz Trajectory (199 steps to reach 1)

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

8,524,844 4,262,422 2,131,211 6,393,634 3,196,817 9,590,452 4,795,226 2,397,613 7,192,840 3,596,420 1,798,210 899,105 2,697,316 1,348,658 674,329 2,022,988 1,011,494 505,747 1,517,242 758,621 2,275,864 1,137,932 568,966 284,483 853,450 426,725 1,280,176 640,088 320,044 160,022 80,011 240,034 120,017 360,052 180,026 90,013 270,040 135,020 67,510 33,755 101,266 50,633 151,900 75,950 37,975 113,926 56,963 170,890 85,445 256,336 128,168 64,084 32,042 16,021 48,064 24,032 12,016 6,008 3,004 1,502

More profiles

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