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Atlas › Integer Profiles › Node 21,442,016

21,442,016

25 × 41 × 59 × 277
Abundant Even Composite

21,442,016 factors as 2^5 × 41 × 59 × 277. Its 48 positive divisors give a proper-divisor sum of 22,693,264, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^5 × 41 × 59 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 44,135,280
Proper Divisor Sum 22,693,264
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #21442009 ← → #21442019

Radix Representation

Decimal 21442016
Binary 1010001110010110111100000 (25 bits)
Octal 0o121626740
Hexadecimal 0x1472DE0

Divisor Catalog (48)

1 2 4 8 16 32 41 59 82 118 164 236 277 328 472 554 656 944 1,108 1,312 1,888 2,216 2,419 4,432 4,838 8,864 9,676 11,357 16,343 19,352 22,714 32,686 38,704 45,428 65,372 77,408 90,856 130,744 181,712 261,488 363,424 522,976 670,063 1,340,126 2,680,252 5,360,504 10,721,008 21,442,016

Collatz Trajectory (97 steps to reach 1)

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

21,442,016 10,721,008 5,360,504 2,680,252 1,340,126 670,063 2,010,190 1,005,095 3,015,286 1,507,643 4,522,930 2,261,465 6,784,396 3,392,198 1,696,099 5,088,298 2,544,149 7,632,448 3,816,224 1,908,112 954,056 477,028 238,514 119,257 357,772 178,886 89,443 268,330 134,165 402,496 201,248 100,624 50,312 25,156 12,578 6,289 18,868 9,434 4,717 14,152 7,076 3,538 1,769 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782

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