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Atlas › Integer Profiles › Node 5,977,836

5,977,836

22 × 32 × 47 × 3533
Abundant Even Composite

5,977,836 factors as 2^2 × 3^2 × 47 × 3533. Its 36 positive divisors give a proper-divisor sum of 9,458,676, so this integer is abundant. The Collatz stopping time is 289 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 47 × 3533
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 15,436,512
Proper Divisor Sum 9,458,676
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5977801 ← → #5977843

Radix Representation

Decimal 5977836
Binary 10110110011011011101100 (23 bits)
Octal 0o26633354
Hexadecimal 0x5B36EC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1,692 3,533 7,066 10,599 14,132 21,198 31,797 42,396 63,594 127,188 166,051 332,102 498,153 664,204 996,306 1,494,459 1,992,612 2,988,918 5,977,836

Collatz Trajectory (289 steps to reach 1)

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

5,977,836 2,988,918 1,494,459 4,483,378 2,241,689 6,725,068 3,362,534 1,681,267 5,043,802 2,521,901 7,565,704 3,782,852 1,891,426 945,713 2,837,140 1,418,570 709,285 2,127,856 1,063,928 531,964 265,982 132,991 398,974 199,487 598,462 299,231 897,694 448,847 1,346,542 673,271 2,019,814 1,009,907 3,029,722 1,514,861 4,544,584 2,272,292 1,136,146 568,073 1,704,220 852,110 426,055 1,278,166 639,083 1,917,250 958,625 2,875,876 1,437,938 718,969 2,156,908 1,078,454 539,227 1,617,682 808,841 2,426,524 1,213,262 606,631 1,819,894 909,947 2,729,842 1,364,921

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