λ
Ratio Atlas

62,320,206

2 × 3 × 13 × 239 × 3343
Abundant Even Composite

62,320,206 factors as 2 × 3 × 13 × 239 × 3343. Its 32 positive divisors give a proper-divisor sum of 72,509,874, so this integer is abundant. The Collatz stopping time is 388 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 239 × 3343
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 134,830,080
Proper Divisor Sum 72,509,874
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #62320151 ← → #62320207

Radix Representation

Decimal 62320206
Binary 11101101101110111001001110 (26 bits)
Octal 0o355567116
Hexadecimal 0x3B6EE4E

Divisor Catalog (32)

Collatz Trajectory (388 steps to reach 1)

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

62,320,206 31,160,103 93,480,310 46,740,155 140,220,466 70,110,233 210,330,700 105,165,350 52,582,675 157,748,026 78,874,013 236,622,040 118,311,020 59,155,510 29,577,755 88,733,266 44,366,633 133,099,900 66,549,950 33,274,975 99,824,926 49,912,463 149,737,390 74,868,695 224,606,086 112,303,043 336,909,130 168,454,565 505,363,696 252,681,848 126,340,924 63,170,462 31,585,231 94,755,694 47,377,847 142,133,542 71,066,771 213,200,314 106,600,157 319,800,472 159,900,236 79,950,118 39,975,059 119,925,178 59,962,589 179,887,768 89,943,884 44,971,942 22,485,971 67,457,914 33,728,957 101,186,872 50,593,436 25,296,718 12,648,359 37,945,078 18,972,539 56,917,618 28,458,809 85,376,428

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