λ
Ratio Atlas

28,062,034

2 × 7 × 11 × 13 × 107 × 131
Abundant Even Composite

28,062,034 factors as 2 × 7 × 11 × 13 × 107 × 131. Its 64 positive divisors give a proper-divisor sum of 29,418,158, so this integer is abundant. The Collatz stopping time is 299 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 13 × 107 × 131
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 57,480,192
Proper Divisor Sum 29,418,158
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #28062017 ← → #28062049

Radix Representation

Decimal 28062034
Binary 1101011000011000101010010 (25 bits)
Octal 0o153030522
Hexadecimal 0x1AC3152

Divisor Catalog (60 of 64)

Collatz Trajectory (299 steps to reach 1)

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

28,062,034 14,031,017 42,093,052 21,046,526 10,523,263 31,569,790 15,784,895 47,354,686 23,677,343 71,032,030 35,516,015 106,548,046 53,274,023 159,822,070 79,911,035 239,733,106 119,866,553 359,599,660 179,799,830 89,899,915 269,699,746 134,849,873 404,549,620 202,274,810 101,137,405 303,412,216 151,706,108 75,853,054 37,926,527 113,779,582 56,889,791 170,669,374 85,334,687 256,004,062 128,002,031 384,006,094 192,003,047 576,009,142 288,004,571 864,013,714 432,006,857 1,296,020,572 648,010,286 324,005,143 972,015,430 486,007,715 1,458,023,146 729,011,573 2,187,034,720 1,093,517,360 546,758,680 273,379,340 136,689,670 68,344,835 205,034,506 102,517,253 307,551,760 153,775,880 76,887,940 38,443,970

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