λ
Integer Codex

5,636,163

3 × 13 × 17 × 8501
Deficient Odd Composite

For 5,636,163, the 16 positive divisors have a total of 8,570,016. Removing 5,636,163 leaves 2,933,853, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 8501
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,570,016
Proper Divisor Sum 2,933,853
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5636161 ← → #5636171

Radix Representation

Decimal 5636163
Binary 10101100000000001000011 (23 bits)
Octal 0o25400103
Hexadecimal 0x560043

Divisor Catalog (16)

1 3 13 17 39 51 221 663 8,501 25,503 110,513 144,517 331,539 433,551 1,878,721 5,636,163

Collatz Trajectory (108 steps to reach 1)

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

5,636,163 16,908,490 8,454,245 25,362,736 12,681,368 6,340,684 3,170,342 1,585,171 4,755,514 2,377,757 7,133,272 3,566,636 1,783,318 891,659 2,674,978 1,337,489 4,012,468 2,006,234 1,003,117 3,009,352 1,504,676 752,338 376,169 1,128,508 564,254 282,127 846,382 423,191 1,269,574 634,787 1,904,362 952,181 2,856,544 1,428,272 714,136 357,068 178,534 89,267 267,802 133,901 401,704 200,852 100,426 50,213 150,640 75,320 37,660 18,830 9,415 28,246 14,123 42,370 21,185 63,556 31,778 15,889 47,668 23,834 11,917 35,752

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