5,777,874

2 × 3² × 257 × 1249

5,777,874 factors as 2 × 3^2 × 257 × 1249. Its 24 positive divisors give a proper-divisor sum of 6,799,626, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 257 × 1249

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,577,500

Proper Divisor Sum 6,799,626

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #5777869 ← → #5777887

Radix Representation

Decimal	5777874
Binary	10110000010100111010010 (23 bits)
Octal	0o26024722
Hexadecimal	0x5829D2

Divisor Catalog (24)

1 2 3 6 9 18 257 514 771 1,249 1,542 2,313 2,498 3,747 4,626 7,494 11,241 22,482 320,993 641,986 962,979 1,925,958 2,888,937 5,777,874

Collatz Trajectory (214 steps to reach 1)

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

5,777,874 2,888,937 8,666,812 4,333,406 2,166,703 6,500,110 3,250,055 9,750,166 4,875,083 14,625,250 7,312,625 21,937,876 10,968,938 5,484,469 16,453,408 8,226,704 4,113,352 2,056,676 1,028,338 514,169 1,542,508 771,254 385,627 1,156,882 578,441 1,735,324 867,662 433,831 1,301,494 650,747 1,952,242 976,121 2,928,364 1,464,182 732,091 2,196,274 1,098,137 3,294,412 1,647,206 823,603 2,470,810 1,235,405 3,706,216 1,853,108 926,554 463,277 1,389,832 694,916 347,458 173,729 521,188 260,594 130,297 390,892 195,446 97,723 293,170 146,585 439,756 219,878

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