λ
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Atlas › Integer Profiles › Node 28,421,036

28,421,036

22 × 7 × 19 × 41 × 1303
Abundant Even Composite

28,421,036 factors as 2^2 × 7 × 19 × 41 × 1303. Its 48 positive divisors give a proper-divisor sum of 32,919,124, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 19 × 41 × 1303
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 61,340,160
Proper Divisor Sum 32,919,124
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #28421027 ← → #28421039

Radix Representation

Decimal 28421036
Binary 1101100011010101110101100 (25 bits)
Octal 0o154325654
Hexadecimal 0x1B1ABAC

Divisor Catalog (48)

1 2 4 7 14 19 28 38 41 76 82 133 164 266 287 532 574 779 1,148 1,303 1,558 2,606 3,116 5,212 5,453 9,121 10,906 18,242 21,812 24,757 36,484 49,514 53,423 99,028 106,846 173,299 213,692 346,598 373,961 693,196 747,922 1,015,037 1,495,844 2,030,074 4,060,148 7,105,259 14,210,518 28,421,036

Collatz Trajectory (123 steps to reach 1)

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

28,421,036 14,210,518 7,105,259 21,315,778 10,657,889 31,973,668 15,986,834 7,993,417 23,980,252 11,990,126 5,995,063 17,985,190 8,992,595 26,977,786 13,488,893 40,466,680 20,233,340 10,116,670 5,058,335 15,175,006 7,587,503 22,762,510 11,381,255 34,143,766 17,071,883 51,215,650 25,607,825 76,823,476 38,411,738 19,205,869 57,617,608 28,808,804 14,404,402 7,202,201 21,606,604 10,803,302 5,401,651 16,204,954 8,102,477 24,307,432 12,153,716 6,076,858 3,038,429 9,115,288 4,557,644 2,278,822 1,139,411 3,418,234 1,709,117 5,127,352 2,563,676 1,281,838 640,919 1,922,758 961,379 2,884,138 1,442,069 4,326,208 2,163,104 1,081,552

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