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Atlas › Integer Profiles › Node 14,550,776

14,550,776

23 × 17 × 97 × 1103
Abundant Even Composite

14,550,776 factors as 2^3 × 17 × 97 × 1103. Its 32 positive divisors give a proper-divisor sum of 14,661,064, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 97 × 1103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,211,840
Proper Divisor Sum 14,661,064
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #14550769 ← → #14550787

Radix Representation

Decimal 14550776
Binary 110111100000011011111000 (24 bits)
Octal 0o67403370
Hexadecimal 0xDE06F8

Divisor Catalog (32)

1 2 4 8 17 34 68 97 136 194 388 776 1,103 1,649 2,206 3,298 4,412 6,596 8,824 13,192 18,751 37,502 75,004 106,991 150,008 213,982 427,964 855,928 1,818,847 3,637,694 7,275,388 14,550,776

Collatz Trajectory (197 steps to reach 1)

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

14,550,776 7,275,388 3,637,694 1,818,847 5,456,542 2,728,271 8,184,814 4,092,407 12,277,222 6,138,611 18,415,834 9,207,917 27,623,752 13,811,876 6,905,938 3,452,969 10,358,908 5,179,454 2,589,727 7,769,182 3,884,591 11,653,774 5,826,887 17,480,662 8,740,331 26,220,994 13,110,497 39,331,492 19,665,746 9,832,873 29,498,620 14,749,310 7,374,655 22,123,966 11,061,983 33,185,950 16,592,975 49,778,926 24,889,463 74,668,390 37,334,195 112,002,586 56,001,293 168,003,880 84,001,940 42,000,970 21,000,485 63,001,456 31,500,728 15,750,364 7,875,182 3,937,591 11,812,774 5,906,387 17,719,162 8,859,581 26,578,744 13,289,372 6,644,686 3,322,343

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