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Atlas › Integer Profiles › Node 16,144,704

16,144,704

26 × 33 × 9343
Abundant Even Composite

16,144,704 factors as 2^6 × 3^3 × 9343. Its 56 positive divisors give a proper-divisor sum of 31,322,816, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 9343
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 47,467,520
Proper Divisor Sum 31,322,816
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #16144673 ← → #16144717

Radix Representation

Decimal 16144704
Binary 111101100101100101000000 (24 bits)
Octal 0o75454500
Hexadecimal 0xF65940

Divisor Catalog (56)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1,728 9,343 18,686 28,029 37,372 56,058 74,744 84,087 112,116 149,488 168,174 224,232 252,261 298,976 336,348 448,464 504,522 597,952 672,696 896,928 1,009,044 1,345,392 1,793,856 2,018,088 2,690,784 4,036,176 5,381,568 8,072,352 16,144,704

Collatz Trajectory (63 steps to reach 1)

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

16,144,704 8,072,352 4,036,176 2,018,088 1,009,044 504,522 252,261 756,784 378,392 189,196 94,598 47,299 141,898 70,949 212,848 106,424 53,212 26,606 13,303 39,910 19,955 59,866 29,933 89,800 44,900 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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