λ
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Atlas › Integer Profiles › Node 10,243,030

10,243,030

2 × 5 × 7 × 41 × 43 × 83
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 41 × 43 × 83
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,353,408
Proper Divisor Sum 12,110,378
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #10243019 ← → #10243031

Radix Representation

Decimal 10243030
Binary 100111000100101111010110 (24 bits)
Octal 0o47045726
Hexadecimal 0x9C4BD6

Divisor Catalog (60 of 64)

1 2 5 7 10 14 35 41 43 70 82 83 86 166 205 215 287 301 410 415 430 574 581 602 830 1,162 1,435 1,505 1,763 2,870 2,905 3,010 3,403 3,526 3,569 5,810 6,806 7,138 8,815 12,341 17,015 17,630 17,845 23,821 24,682 24,983 34,030 35,690 47,642 49,966 61,705 119,105 123,410 124,915 146,329 238,210 249,830 292,658 731,645 1,024,303

Collatz Trajectory (357 steps to reach 1)

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

10,243,030 5,121,515 15,364,546 7,682,273 23,046,820 11,523,410 5,761,705 17,285,116 8,642,558 4,321,279 12,963,838 6,481,919 19,445,758 9,722,879 29,168,638 14,584,319 43,752,958 21,876,479 65,629,438 32,814,719 98,444,158 49,222,079 147,666,238 73,833,119 221,499,358 110,749,679 332,249,038 166,124,519 498,373,558 249,186,779 747,560,338 373,780,169 1,121,340,508 560,670,254 280,335,127 841,005,382 420,502,691 1,261,508,074 630,754,037 1,892,262,112 946,131,056 473,065,528 236,532,764 118,266,382 59,133,191 177,399,574 88,699,787 266,099,362 133,049,681 399,149,044 199,574,522 99,787,261 299,361,784 149,680,892 74,840,446 37,420,223 112,260,670 56,130,335 168,391,006 84,195,503

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