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Atlas › Integer Profiles › Node 14,802,424

14,802,424

23 × 7 × 13 × 20333
Abundant Even Composite

14,802,424 factors as 2^3 × 7 × 13 × 20333. Its 32 positive divisors give a proper-divisor sum of 19,358,696, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 20333
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 34,161,120
Proper Divisor Sum 19,358,696
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #14802421 ← → #14802433

Radix Representation

Decimal 14802424
Binary 111000011101110111111000 (24 bits)
Octal 0o70356770
Hexadecimal 0xE1DDF8

Divisor Catalog (32)

1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 20,333 40,666 81,332 142,331 162,664 264,329 284,662 528,658 569,324 1,057,316 1,138,648 1,850,303 2,114,632 3,700,606 7,401,212 14,802,424

Collatz Trajectory (112 steps to reach 1)

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

14,802,424 7,401,212 3,700,606 1,850,303 5,550,910 2,775,455 8,326,366 4,163,183 12,489,550 6,244,775 18,734,326 9,367,163 28,101,490 14,050,745 42,152,236 21,076,118 10,538,059 31,614,178 15,807,089 47,421,268 23,710,634 11,855,317 35,565,952 17,782,976 8,891,488 4,445,744 2,222,872 1,111,436 555,718 277,859 833,578 416,789 1,250,368 625,184 312,592 156,296 78,148 39,074 19,537 58,612 29,306 14,653 43,960 21,980 10,990 5,495 16,486 8,243 24,730 12,365 37,096 18,548 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609

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