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Atlas › Integer Profiles › Node 16,191,045

16,191,045

32 × 5 × 132 × 2129
Deficient Odd Composite

16,191,045 factors as 3^2 × 5 × 13^2 × 2129. Its 36 positive divisors give a proper-divisor sum of 14,212,575, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 13^2 × 2129
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 30,403,620
Proper Divisor Sum 14,212,575
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #16191041 ← → #16191061

Radix Representation

Decimal 16191045
Binary 111101110000111001000101 (24 bits)
Octal 0o75607105
Hexadecimal 0xF70E45

Divisor Catalog (36)

1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1,521 2,129 2,535 6,387 7,605 10,645 19,161 27,677 31,935 83,031 95,805 138,385 249,093 359,801 415,155 1,079,403 1,245,465 1,799,005 3,238,209 5,397,015 16,191,045

Collatz Trajectory (200 steps to reach 1)

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

16,191,045 48,573,136 24,286,568 12,143,284 6,071,642 3,035,821 9,107,464 4,553,732 2,276,866 1,138,433 3,415,300 1,707,650 853,825 2,561,476 1,280,738 640,369 1,921,108 960,554 480,277 1,440,832 720,416 360,208 180,104 90,052 45,026 22,513 67,540 33,770 16,885 50,656 25,328 12,664 6,332 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131

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