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Atlas › Integer Profiles › Node 17,540,289

17,540,289

32 × 13 × 197 × 761
Deficient Odd Composite

17,540,289 factors as 3^2 × 13 × 197 × 761. Its 24 positive divisors give a proper-divisor sum of 9,919,143, so this integer is deficient. The Collatz stopping time is 319 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 197 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 27,459,432
Proper Divisor Sum 9,919,143
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17540231 ← → #17540293

Radix Representation

Decimal 17540289
Binary 1000010111010010011000001 (25 bits)
Octal 0o102722301
Hexadecimal 0x10BA4C1

Divisor Catalog (24)

1 3 9 13 39 117 197 591 761 1,773 2,283 2,561 6,849 7,683 9,893 23,049 29,679 89,037 149,917 449,751 1,349,253 1,948,921 5,846,763 17,540,289

Collatz Trajectory (319 steps to reach 1)

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

17,540,289 52,620,868 26,310,434 13,155,217 39,465,652 19,732,826 9,866,413 29,599,240 14,799,620 7,399,810 3,699,905 11,099,716 5,549,858 2,774,929 8,324,788 4,162,394 2,081,197 6,243,592 3,121,796 1,560,898 780,449 2,341,348 1,170,674 585,337 1,756,012 878,006 439,003 1,317,010 658,505 1,975,516 987,758 493,879 1,481,638 740,819 2,222,458 1,111,229 3,333,688 1,666,844 833,422 416,711 1,250,134 625,067 1,875,202 937,601 2,812,804 1,406,402 703,201 2,109,604 1,054,802 527,401 1,582,204 791,102 395,551 1,186,654 593,327 1,779,982 889,991 2,669,974 1,334,987 4,004,962

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