λ
Modular Archive

4,440,016

24 × 7 × 29 × 1367
Abundant Even Composite

The decimal integer 4,440,016 is 10000111011111111010000 in binary (23 bits), 20737720 in octal and 43BFD0 in hexadecimal. Its digit sum is 19.

Prime Factor Structure

Factorization String 2^4 × 7 × 29 × 1367
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,177,920
Proper Divisor Sum 5,737,904
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4440011 ← → #4440017

Radix Representation

Decimal 4440016
Binary 10000111011111111010000 (23 bits)
Octal 0o20737720
Hexadecimal 0x43BFD0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1,367 1,624 2,734 3,248 5,468 9,569 10,936 19,138 21,872 38,276 39,643 76,552 79,286 153,104 158,572 277,501 317,144 555,002 634,288 1,110,004 2,220,008 4,440,016

Collatz Trajectory (255 steps to reach 1)

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

4,440,016 2,220,008 1,110,004 555,002 277,501 832,504 416,252 208,126 104,063 312,190 156,095 468,286 234,143 702,430 351,215 1,053,646 526,823 1,580,470 790,235 2,370,706 1,185,353 3,556,060 1,778,030 889,015 2,667,046 1,333,523 4,000,570 2,000,285 6,000,856 3,000,428 1,500,214 750,107 2,250,322 1,125,161 3,375,484 1,687,742 843,871 2,531,614 1,265,807 3,797,422 1,898,711 5,696,134 2,848,067 8,544,202 4,272,101 12,816,304 6,408,152 3,204,076 1,602,038 801,019 2,403,058 1,201,529 3,604,588 1,802,294 901,147 2,703,442 1,351,721 4,055,164 2,027,582 1,013,791

More profiles

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