λ
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Atlas › Integer Profiles › Node 92,510,140

92,510,140

22 × 5 × 23 × 83 × 2423
Abundant Even Composite

92,510,140 factors as 2^2 × 5 × 23 × 83 × 2423. Its 48 positive divisors give a proper-divisor sum of 112,734,788, so this integer is abundant. The Collatz stopping time is 280 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 83 × 2423
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 205,244,928
Proper Divisor Sum 112,734,788
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #92510137 ← → #92510149

Radix Representation

Decimal 92510140
Binary 101100000111001011110111100 (27 bits)
Octal 0o540713674
Hexadecimal 0x58397BC

Divisor Catalog (48)

1 2 4 5 10 20 23 46 83 92 115 166 230 332 415 460 830 1,660 1,909 2,423 3,818 4,846 7,636 9,545 9,692 12,115 19,090 24,230 38,180 48,460 55,729 111,458 201,109 222,916 278,645 402,218 557,290 804,436 1,005,545 1,114,580 2,011,090 4,022,180 4,625,507 9,251,014 18,502,028 23,127,535 46,255,070 92,510,140

Collatz Trajectory (280 steps to reach 1)

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

92,510,140 46,255,070 23,127,535 69,382,606 34,691,303 104,073,910 52,036,955 156,110,866 78,055,433 234,166,300 117,083,150 58,541,575 175,624,726 87,812,363 263,437,090 131,718,545 395,155,636 197,577,818 98,788,909 296,366,728 148,183,364 74,091,682 37,045,841 111,137,524 55,568,762 27,784,381 83,353,144 41,676,572 20,838,286 10,419,143 31,257,430 15,628,715 46,886,146 23,443,073 70,329,220 35,164,610 17,582,305 52,746,916 26,373,458 13,186,729 39,560,188 19,780,094 9,890,047 29,670,142 14,835,071 44,505,214 22,252,607 66,757,822 33,378,911 100,136,734 50,068,367 150,205,102 75,102,551 225,307,654 112,653,827 337,961,482 168,980,741 506,942,224 253,471,112 126,735,556

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