5,876,880

2⁴ × 3 × 5 × 47 × 521

5,876,880 factors as 2^4 × 3 × 5 × 47 × 521. Its 80 positive divisors give a proper-divisor sum of 12,764,784, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 47 × 521

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 18,641,664

Proper Divisor Sum 12,764,784

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #5876869 ← → #5876881

Radix Representation

Decimal	5876880
Binary	10110011010110010010000 (23 bits)
Octal	0o26326220
Hexadecimal	0x59AC90

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 521 564 705 752 940 1,042 1,128 1,410 1,563 1,880 2,084 2,256 2,605 2,820 3,126 3,760 4,168 5,210 5,640 6,252 7,815 8,336 10,420 11,280 12,504 15,630 20,840 24,487 25,008 31,260 41,680 48,974

Collatz Trajectory (90 steps to reach 1)

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

5,876,880 2,938,440 1,469,220 734,610 367,305 1,101,916 550,958 275,479 826,438 413,219 1,239,658 619,829 1,859,488 929,744 464,872 232,436 116,218 58,109 174,328 87,164 43,582 21,791 65,374 32,687 98,062 49,031 147,094 73,547 220,642 110,321 330,964 165,482 82,741 248,224 124,112 62,056 31,028 15,514 7,757 23,272 11,636 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173

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