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Atlas › Integer Profiles › Node 5,531,840

5,531,840

26 × 5 × 59 × 293
Abundant Even Composite

5,531,840 factors as 2^6 × 5 × 59 × 293. Its 56 positive divisors give a proper-divisor sum of 7,909,840, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 59 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 13,441,680
Proper Divisor Sum 7,909,840
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5531819 ← → #5531849

Radix Representation

Decimal 5531840
Binary 10101000110100011000000 (23 bits)
Octal 0o25064300
Hexadecimal 0x5468C0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 236 293 295 320 472 586 590 944 1,172 1,180 1,465 1,888 2,344 2,360 2,930 3,776 4,688 4,720 5,860 9,376 9,440 11,720 17,287 18,752 18,880 23,440 34,574 46,880 69,148 86,435 93,760 138,296 172,870 276,592 345,740 553,184 691,480 1,106,368 1,382,960 2,765,920 5,531,840

Collatz Trajectory (201 steps to reach 1)

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

5,531,840 2,765,920 1,382,960 691,480 345,740 172,870 86,435 259,306 129,653 388,960 194,480 97,240 48,620 24,310 12,155 36,466 18,233 54,700 27,350 13,675 41,026 20,513 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474 9,737 29,212 14,606 7,303 21,910 10,955 32,866 16,433 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852

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