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Atlas › Integer Profiles › Node 10,074,930

10,074,930

2 × 3 × 5 × 41 × 8191
Abundant Even Composite

10,074,930 factors as 2 × 3 × 5 × 41 × 8191. Its 32 positive divisors give a proper-divisor sum of 14,697,678, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 41 × 8191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,772,608
Proper Divisor Sum 14,697,678
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #10074923 ← → #10074937

Radix Representation

Decimal 10074930
Binary 100110011011101100110010 (24 bits)
Octal 0o46335462
Hexadecimal 0x99BB32

Divisor Catalog (32)

1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1,230 8,191 16,382 24,573 40,955 49,146 81,910 122,865 245,730 335,831 671,662 1,007,493 1,679,155 2,014,986 3,358,310 5,037,465 10,074,930

Collatz Trajectory (145 steps to reach 1)

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

10,074,930 5,037,465 15,112,396 7,556,198 3,778,099 11,334,298 5,667,149 17,001,448 8,500,724 4,250,362 2,125,181 6,375,544 3,187,772 1,593,886 796,943 2,390,830 1,195,415 3,586,246 1,793,123 5,379,370 2,689,685 8,069,056 4,034,528 2,017,264 1,008,632 504,316 252,158 126,079 378,238 189,119 567,358 283,679 851,038 425,519 1,276,558 638,279 1,914,838 957,419 2,872,258 1,436,129 4,308,388 2,154,194 1,077,097 3,231,292 1,615,646 807,823 2,423,470 1,211,735 3,635,206 1,817,603 5,452,810 2,726,405 8,179,216 4,089,608 2,044,804 1,022,402 511,201 1,533,604 766,802 383,401

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