λ
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Atlas › Integer Profiles › Node 10,081,340

10,081,340

22 × 5 × 17 × 149 × 199
Abundant Even Composite

10,081,340 factors as 2^2 × 5 × 17 × 149 × 199. Its 48 positive divisors give a proper-divisor sum of 12,598,660, so this integer is abundant. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 149 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,680,000
Proper Divisor Sum 12,598,660
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #10081333 ← → #10081363

Radix Representation

Decimal 10081340
Binary 100110011101010000111100 (24 bits)
Octal 0o46352074
Hexadecimal 0x99D43C

Divisor Catalog (48)

1 2 4 5 10 17 20 34 68 85 149 170 199 298 340 398 596 745 796 995 1,490 1,990 2,533 2,980 3,383 3,980 5,066 6,766 10,132 12,665 13,532 16,915 25,330 29,651 33,830 50,660 59,302 67,660 118,604 148,255 296,510 504,067 593,020 1,008,134 2,016,268 2,520,335 5,040,670 10,081,340

Collatz Trajectory (282 steps to reach 1)

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

10,081,340 5,040,670 2,520,335 7,561,006 3,780,503 11,341,510 5,670,755 17,012,266 8,506,133 25,518,400 12,759,200 6,379,600 3,189,800 1,594,900 797,450 398,725 1,196,176 598,088 299,044 149,522 74,761 224,284 112,142 56,071 168,214 84,107 252,322 126,161 378,484 189,242 94,621 283,864 141,932 70,966 35,483 106,450 53,225 159,676 79,838 39,919 119,758 59,879 179,638 89,819 269,458 134,729 404,188 202,094 101,047 303,142 151,571 454,714 227,357 682,072 341,036 170,518 85,259 255,778 127,889 383,668

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