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Atlas › Integer Profiles › Node 44,501,994

44,501,994

2 × 33 × 271 × 3041
Abundant Even Composite

44,501,994 factors as 2 × 3^3 × 271 × 3041. Its 32 positive divisors give a proper-divisor sum of 54,788,886, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 271 × 3041
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 99,290,880
Proper Divisor Sum 54,788,886
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #44501981 ← → #44502011

Radix Representation

Decimal 44501994
Binary 10101001110000101111101010 (26 bits)
Octal 0o251605752
Hexadecimal 0x2A70BEA

Divisor Catalog (32)

1 2 3 6 9 18 27 54 271 542 813 1,626 2,439 3,041 4,878 6,082 7,317 9,123 14,634 18,246 27,369 54,738 82,107 164,214 824,111 1,648,222 2,472,333 4,944,666 7,416,999 14,833,998 22,250,997 44,501,994

Collatz Trajectory (235 steps to reach 1)

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

44,501,994 22,250,997 66,752,992 33,376,496 16,688,248 8,344,124 4,172,062 2,086,031 6,258,094 3,129,047 9,387,142 4,693,571 14,080,714 7,040,357 21,121,072 10,560,536 5,280,268 2,640,134 1,320,067 3,960,202 1,980,101 5,940,304 2,970,152 1,485,076 742,538 371,269 1,113,808 556,904 278,452 139,226 69,613 208,840 104,420 52,210 26,105 78,316 39,158 19,579 58,738 29,369 88,108 44,054 22,027 66,082 33,041 99,124 49,562 24,781 74,344 37,172 18,586 9,293 27,880 13,940 6,970 3,485 10,456 5,228 2,614 1,307

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