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Atlas › Integer Profiles › Node 44,734,752

44,734,752

25 × 32 × 17 × 9137
Abundant Even Composite

44,734,752 factors as 2^5 × 3^2 × 17 × 9137. Its 72 positive divisors give a proper-divisor sum of 89,977,644, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 17 × 9137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 134,712,396
Proper Divisor Sum 89,977,644
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #44734727 ← → #44734763

Radix Representation

Decimal 44734752
Binary 10101010101001100100100000 (26 bits)
Octal 0o252514440
Hexadecimal 0x2AA9920

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1,224 1,632 2,448 4,896 9,137 18,274 27,411 36,548 54,822 73,096 82,233 109,644 146,192 155,329 164,466 219,288 292,384 310,658 328,932 438,576 465,987 621,316 657,864 877,152 931,974 1,242,632 1,315,728 1,397,961

Collatz Trajectory (173 steps to reach 1)

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

44,734,752 22,367,376 11,183,688 5,591,844 2,795,922 1,397,961 4,193,884 2,096,942 1,048,471 3,145,414 1,572,707 4,718,122 2,359,061 7,077,184 3,538,592 1,769,296 884,648 442,324 221,162 110,581 331,744 165,872 82,936 41,468 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310 168,155 504,466 252,233 756,700 378,350 189,175 567,526 283,763

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