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Atlas › Integer Profiles › Node 16,618,784

16,618,784

25 × 7 × 132 × 439
Abundant Even Composite

16,618,784 factors as 2^5 × 7 × 13^2 × 439. Its 72 positive divisors give a proper-divisor sum of 23,963,296, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 13^2 × 439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 40,582,080
Proper Divisor Sum 23,963,296
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #16618751 ← → #16618799

Radix Representation

Decimal 16618784
Binary 111111011001010100100000 (24 bits)
Octal 0o77312440
Hexadecimal 0xFD9520

Divisor Catalog (60 of 72)

1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 338 364 416 439 676 728 878 1,183 1,352 1,456 1,756 2,366 2,704 2,912 3,073 3,512 4,732 5,408 5,707 6,146 7,024 9,464 11,414 12,292 14,048 18,928 22,828 24,584 37,856 39,949 45,656 49,168 74,191 79,898 91,312 98,336 148,382 159,796 182,624 296,764

Collatz Trajectory (200 steps to reach 1)

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

16,618,784 8,309,392 4,154,696 2,077,348 1,038,674 519,337 1,558,012 779,006 389,503 1,168,510 584,255 1,752,766 876,383 2,629,150 1,314,575 3,943,726 1,971,863 5,915,590 2,957,795 8,873,386 4,436,693 13,310,080 6,655,040 3,327,520 1,663,760 831,880 415,940 207,970 103,985 311,956 155,978 77,989 233,968 116,984 58,492 29,246 14,623 43,870 21,935 65,806 32,903 98,710 49,355 148,066 74,033 222,100 111,050 55,525 166,576 83,288 41,644 20,822 10,411 31,234 15,617 46,852 23,426 11,713 35,140 17,570

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