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Atlas › Integer Profiles › Node 17,877,412

17,877,412

22 × 7 × 761 × 839
Abundant Even Composite

17,877,412 factors as 2^2 × 7 × 761 × 839. Its 24 positive divisors give a proper-divisor sum of 17,967,068, so this integer is abundant. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 761 × 839
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 35,844,480
Proper Divisor Sum 17,967,068
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #17877403 ← → #17877443

Radix Representation

Decimal 17877412
Binary 1000100001100100110100100 (25 bits)
Octal 0o104144644
Hexadecimal 0x110C9A4

Divisor Catalog (24)

1 2 4 7 14 28 761 839 1,522 1,678 3,044 3,356 5,327 5,873 10,654 11,746 21,308 23,492 638,479 1,276,958 2,553,916 4,469,353 8,938,706 17,877,412

Collatz Trajectory (244 steps to reach 1)

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

17,877,412 8,938,706 4,469,353 13,408,060 6,704,030 3,352,015 10,056,046 5,028,023 15,084,070 7,542,035 22,626,106 11,313,053 33,939,160 16,969,580 8,484,790 4,242,395 12,727,186 6,363,593 19,090,780 9,545,390 4,772,695 14,318,086 7,159,043 21,477,130 10,738,565 32,215,696 16,107,848 8,053,924 4,026,962 2,013,481 6,040,444 3,020,222 1,510,111 4,530,334 2,265,167 6,795,502 3,397,751 10,193,254 5,096,627 15,289,882 7,644,941 22,934,824 11,467,412 5,733,706 2,866,853 8,600,560 4,300,280 2,150,140 1,075,070 537,535 1,612,606 806,303 2,418,910 1,209,455 3,628,366 1,814,183 5,442,550 2,721,275 8,163,826 4,081,913

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