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Atlas › Integer Profiles › Node 44,404,704

44,404,704

25 × 32 × 154183
Abundant Even Composite

44,404,704 factors as 2^5 × 3^2 × 154183. Its 36 positive divisors give a proper-divisor sum of 81,871,992, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 154183
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 126,276,696
Proper Divisor Sum 81,871,992
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #44404693 ← → #44404727

Radix Representation

Decimal 44404704
Binary 10101001011000111111100000 (26 bits)
Octal 0o251307740
Hexadecimal 0x2A58FE0

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 154,183 308,366 462,549 616,732 925,098 1,233,464 1,387,647 1,850,196 2,466,928 2,775,294 3,700,392 4,933,856 5,550,588 7,400,784 11,101,176 14,801,568 22,202,352 44,404,704

Collatz Trajectory (253 steps to reach 1)

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

44,404,704 22,202,352 11,101,176 5,550,588 2,775,294 1,387,647 4,162,942 2,081,471 6,244,414 3,122,207 9,366,622 4,683,311 14,049,934 7,024,967 21,074,902 10,537,451 31,612,354 15,806,177 47,418,532 23,709,266 11,854,633 35,563,900 17,781,950 8,890,975 26,672,926 13,336,463 40,009,390 20,004,695 60,014,086 30,007,043 90,021,130 45,010,565 135,031,696 67,515,848 33,757,924 16,878,962 8,439,481 25,318,444 12,659,222 6,329,611 18,988,834 9,494,417 28,483,252 14,241,626 7,120,813 21,362,440 10,681,220 5,340,610 2,670,305 8,010,916 4,005,458 2,002,729 6,008,188 3,004,094 1,502,047 4,506,142 2,253,071 6,759,214 3,379,607 10,138,822

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