5,977,820

2² × 5 × 257 × 1163

5,977,820 factors as 2^2 × 5 × 257 × 1163. Its 24 positive divisors give a proper-divisor sum of 6,635,284, so this integer is abundant. The Collatz stopping time is 289 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 257 × 1163

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,613,104

Proper Divisor Sum 6,635,284

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #5977801 ← → #5977843

Radix Representation

Decimal	5977820
Binary	10110110011011011011100 (23 bits)
Octal	0o26633334
Hexadecimal	0x5B36DC

Divisor Catalog (24)

Collatz Trajectory (289 steps to reach 1)

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

5,977,820 2,988,910 1,494,455 4,483,366 2,241,683 6,725,050 3,362,525 10,087,576 5,043,788 2,521,894 1,260,947 3,782,842 1,891,421 5,674,264 2,837,132 1,418,566 709,283 2,127,850 1,063,925 3,191,776 1,595,888 797,944 398,972 199,486 99,743 299,230 149,615 448,846 224,423 673,270 336,635 1,009,906 504,953 1,514,860 757,430 378,715 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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