5,779,506

2 × 3 × 61 × 15791

5,779,506 factors as 2 × 3 × 61 × 15791. Its 16 positive divisors give a proper-divisor sum of 5,969,742, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2 × 3 × 61 × 15791

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,749,248

Proper Divisor Sum 5,969,742

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5779493 ← → #5779513

Radix Representation

Decimal	5779506
Binary	10110000011000000110010 (23 bits)
Octal	0o26030062
Hexadecimal	0x583032

Divisor Catalog (16)

1 2 3 6 61 122 183 366 15,791 31,582 47,373 94,746 963,251 1,926,502 2,889,753 5,779,506

Collatz Trajectory (121 steps to reach 1)

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

5,779,506 2,889,753 8,669,260 4,334,630 2,167,315 6,501,946 3,250,973 9,752,920 4,876,460 2,438,230 1,219,115 3,657,346 1,828,673 5,486,020 2,743,010 1,371,505 4,114,516 2,057,258 1,028,629 3,085,888 1,542,944 771,472 385,736 192,868 96,434 48,217 144,652 72,326 36,163 108,490 54,245 162,736 81,368 40,684 20,342 10,171 30,514 15,257 45,772 22,886 11,443 34,330 17,165 51,496 25,748 12,874 6,437 19,312 9,656 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019

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