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Atlas › Integer Profiles › Node 44,293,188

44,293,188

22 × 3 × 59 × 73 × 857
Abundant Even Composite

44,293,188 factors as 2^2 × 3 × 59 × 73 × 857. Its 48 positive divisors give a proper-divisor sum of 62,373,372, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 59 × 73 × 857
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 106,666,560
Proper Divisor Sum 62,373,372
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #44293163 ← → #44293189

Radix Representation

Decimal 44293188
Binary 10101000111101110001000100 (26 bits)
Octal 0o250756104
Hexadecimal 0x2A3DC44

Divisor Catalog (48)

1 2 3 4 6 12 59 73 118 146 177 219 236 292 354 438 708 857 876 1,714 2,571 3,428 4,307 5,142 8,614 10,284 12,921 17,228 25,842 50,563 51,684 62,561 101,126 125,122 151,689 187,683 202,252 250,244 303,378 375,366 606,756 750,732 3,691,099 7,382,198 11,073,297 14,764,396 22,146,594 44,293,188

Collatz Trajectory (235 steps to reach 1)

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

44,293,188 22,146,594 11,073,297 33,219,892 16,609,946 8,304,973 24,914,920 12,457,460 6,228,730 3,114,365 9,343,096 4,671,548 2,335,774 1,167,887 3,503,662 1,751,831 5,255,494 2,627,747 7,883,242 3,941,621 11,824,864 5,912,432 2,956,216 1,478,108 739,054 369,527 1,108,582 554,291 1,662,874 831,437 2,494,312 1,247,156 623,578 311,789 935,368 467,684 233,842 116,921 350,764 175,382 87,691 263,074 131,537 394,612 197,306 98,653 295,960 147,980 73,990 36,995 110,986 55,493 166,480 83,240 41,620 20,810 10,405 31,216 15,608 7,804

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