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Atlas › Integer Profiles › Node 5,680,872

5,680,872

23 × 32 × 78901
Abundant Even Composite

5,680,872 factors as 2^3 × 3^2 × 78901. Its 24 positive divisors give a proper-divisor sum of 9,705,018, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 78901
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,385,890
Proper Divisor Sum 9,705,018
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5680861 ← → #5680877

Radix Representation

Decimal 5680872
Binary 10101101010111011101000 (23 bits)
Octal 0o25527350
Hexadecimal 0x56AEE8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 78,901 157,802 236,703 315,604 473,406 631,208 710,109 946,812 1,420,218 1,893,624 2,840,436 5,680,872

Collatz Trajectory (126 steps to reach 1)

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

5,680,872 2,840,436 1,420,218 710,109 2,130,328 1,065,164 532,582 266,291 798,874 399,437 1,198,312 599,156 299,578 149,789 449,368 224,684 112,342 56,171 168,514 84,257 252,772 126,386 63,193 189,580 94,790 47,395 142,186 71,093 213,280 106,640 53,320 26,660 13,330 6,665 19,996 9,998 4,999 14,998 7,499 22,498 11,249 33,748 16,874 8,437 25,312 12,656 6,328 3,164 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167

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