4,700,566

2 × 13² × 13907

4,700,566 factors as 2 × 13^2 × 13907. Its 12 positive divisors give a proper-divisor sum of 2,934,926, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 13907

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,635,492

Proper Divisor Sum 2,934,926

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4700557 ← → #4700567

Radix Representation

Decimal	4700566
Binary	10001111011100110010110 (23 bits)
Octal	0o21734626
Hexadecimal	0x47B996

Divisor Catalog (12)

1 2 13 26 169 338 13,907 27,814 180,791 361,582 2,350,283 4,700,566

Collatz Trajectory (131 steps to reach 1)

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

4,700,566 2,350,283 7,050,850 3,525,425 10,576,276 5,288,138 2,644,069 7,932,208 3,966,104 1,983,052 991,526 495,763 1,487,290 743,645 2,230,936 1,115,468 557,734 278,867 836,602 418,301 1,254,904 627,452 313,726 156,863 470,590 235,295 705,886 352,943 1,058,830 529,415 1,588,246 794,123 2,382,370 1,191,185 3,573,556 1,786,778 893,389 2,680,168 1,340,084 670,042 335,021 1,005,064 502,532 251,266 125,633 376,900 188,450 94,225 282,676 141,338 70,669 212,008 106,004 53,002 26,501 79,504 39,752 19,876 9,938 4,969

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