5,725,846

2 × 7² × 58427

5,725,846 factors as 2 × 7^2 × 58427. Its 12 positive divisors give a proper-divisor sum of 4,265,342, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 58427

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,991,188

Proper Divisor Sum 4,265,342

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #5725843 ← → #5725849

Radix Representation

Decimal	5725846
Binary	10101110101111010010110 (23 bits)
Octal	0o25657226
Hexadecimal	0x575E96

Divisor Catalog (12)

1 2 7 14 49 98 58,427 116,854 408,989 817,978 2,862,923 5,725,846

Collatz Trajectory (126 steps to reach 1)

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

5,725,846 2,862,923 8,588,770 4,294,385 12,883,156 6,441,578 3,220,789 9,662,368 4,831,184 2,415,592 1,207,796 603,898 301,949 905,848 452,924 226,462 113,231 339,694 169,847 509,542 254,771 764,314 382,157 1,146,472 573,236 286,618 143,309 429,928 214,964 107,482 53,741 161,224 80,612 40,306 20,153 60,460 30,230 15,115 45,346 22,673 68,020 34,010 17,005 51,016 25,508 12,754 6,377 19,132 9,566 4,783 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328

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