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Atlas › Integer Profiles › Node 5,536,804

5,536,804

22 × 72 × 13 × 41 × 53
Abundant Even Composite

5,536,804 factors as 2^2 × 7^2 × 13 × 41 × 53. Its 72 positive divisors give a proper-divisor sum of 7,132,244, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 13 × 41 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 12,669,048
Proper Divisor Sum 7,132,244
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5536789 ← → #5536807

Radix Representation

Decimal 5536804
Binary 10101000111110000100100 (23 bits)
Octal 0o25076044
Hexadecimal 0x547C24

Divisor Catalog (60 of 72)

1 2 4 7 13 14 26 28 41 49 52 53 82 91 98 106 164 182 196 212 287 364 371 533 574 637 689 742 1,066 1,148 1,274 1,378 1,484 2,009 2,132 2,173 2,548 2,597 2,756 3,731 4,018 4,346 4,823 5,194 7,462 8,036 8,692 9,646 10,388 14,924 15,211 19,292 26,117 28,249 30,422 33,761 52,234 56,498 60,844 67,522

Collatz Trajectory (162 steps to reach 1)

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

5,536,804 2,768,402 1,384,201 4,152,604 2,076,302 1,038,151 3,114,454 1,557,227 4,671,682 2,335,841 7,007,524 3,503,762 1,751,881 5,255,644 2,627,822 1,313,911 3,941,734 1,970,867 5,912,602 2,956,301 8,868,904 4,434,452 2,217,226 1,108,613 3,325,840 1,662,920 831,460 415,730 207,865 623,596 311,798 155,899 467,698 233,849 701,548 350,774 175,387 526,162 263,081 789,244 394,622 197,311 591,934 295,967 887,902 443,951 1,331,854 665,927 1,997,782 998,891 2,996,674 1,498,337 4,495,012 2,247,506 1,123,753 3,371,260 1,685,630 842,815 2,528,446 1,264,223

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