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Atlas › Integer Profiles › Node 10,550,340

10,550,340

22 × 32 × 5 × 58613
Abundant Even Composite

10,550,340 factors as 2^2 × 3^2 × 5 × 58613. Its 36 positive divisors give a proper-divisor sum of 21,452,904, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 58613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 32,003,244
Proper Divisor Sum 21,452,904
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #10550333 ← → #10550341

Radix Representation

Decimal 10550340
Binary 101000001111110001000100 (24 bits)
Octal 0o50176104
Hexadecimal 0xA0FC44

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 58,613 117,226 175,839 234,452 293,065 351,678 527,517 586,130 703,356 879,195 1,055,034 1,172,260 1,758,390 2,110,068 2,637,585 3,516,780 5,275,170 10,550,340

Collatz Trajectory (127 steps to reach 1)

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

10,550,340 5,275,170 2,637,585 7,912,756 3,956,378 1,978,189 5,934,568 2,967,284 1,483,642 741,821 2,225,464 1,112,732 556,366 278,183 834,550 417,275 1,251,826 625,913 1,877,740 938,870 469,435 1,408,306 704,153 2,112,460 1,056,230 528,115 1,584,346 792,173 2,376,520 1,188,260 594,130 297,065 891,196 445,598 222,799 668,398 334,199 1,002,598 501,299 1,503,898 751,949 2,255,848 1,127,924 563,962 281,981 845,944 422,972 211,486 105,743 317,230 158,615 475,846 237,923 713,770 356,885 1,070,656 535,328 267,664 133,832 66,916

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