λ
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Atlas › Integer Profiles › Node 10,028,390

10,028,390

2 × 5 × 19 × 47 × 1123
Deficient Even Composite

10,028,390 factors as 2 × 5 × 19 × 47 × 1123. Its 32 positive divisors give a proper-divisor sum of 9,394,330, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 47 × 1123
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,422,720
Proper Divisor Sum 9,394,330
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #10028383 ← → #10028393

Radix Representation

Decimal 10028390
Binary 100110010000010101100110 (24 bits)
Octal 0o46202546
Hexadecimal 0x990566

Divisor Catalog (32)

1 2 5 10 19 38 47 94 95 190 235 470 893 1,123 1,786 2,246 4,465 5,615 8,930 11,230 21,337 42,674 52,781 105,562 106,685 213,370 263,905 527,810 1,002,839 2,005,678 5,014,195 10,028,390

Collatz Trajectory (114 steps to reach 1)

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

10,028,390 5,014,195 15,042,586 7,521,293 22,563,880 11,281,940 5,640,970 2,820,485 8,461,456 4,230,728 2,115,364 1,057,682 528,841 1,586,524 793,262 396,631 1,189,894 594,947 1,784,842 892,421 2,677,264 1,338,632 669,316 334,658 167,329 501,988 250,994 125,497 376,492 188,246 94,123 282,370 141,185 423,556 211,778 105,889 317,668 158,834 79,417 238,252 119,126 59,563 178,690 89,345 268,036 134,018 67,009 201,028 100,514 50,257 150,772 75,386 37,693 113,080 56,540 28,270 14,135 42,406 21,203 63,610

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