λ
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Atlas › Integer Profiles › Node 44,488,367

44,488,367

7 × 11 × 19 × 47 × 647
Deficient Odd Composite

44,488,367 factors as 7 × 11 × 19 × 47 × 647. Its 32 positive divisors give a proper-divisor sum of 15,231,313, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 7 × 11 × 19 × 47 × 647
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 59,719,680
Proper Divisor Sum 15,231,313
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #44488363 ← → #44488369

Radix Representation

Decimal 44488367
Binary 10101001101101011010101111 (26 bits)
Octal 0o251553257
Hexadecimal 0x2A6D6AF

Divisor Catalog (32)

1 7 11 19 47 77 133 209 329 517 647 893 1,463 3,619 4,529 6,251 7,117 9,823 12,293 30,409 49,819 68,761 86,051 135,223 212,863 334,499 577,771 946,561 2,341,493 4,044,397 6,355,481 44,488,367

Collatz Trajectory (142 steps to reach 1)

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

44,488,367 133,465,102 66,732,551 200,197,654 100,098,827 300,296,482 150,148,241 450,444,724 225,222,362 112,611,181 337,833,544 168,916,772 84,458,386 42,229,193 126,687,580 63,343,790 31,671,895 95,015,686 47,507,843 142,523,530 71,261,765 213,785,296 106,892,648 53,446,324 26,723,162 13,361,581 40,084,744 20,042,372 10,021,186 5,010,593 15,031,780 7,515,890 3,757,945 11,273,836 5,636,918 2,818,459 8,455,378 4,227,689 12,683,068 6,341,534 3,170,767 9,512,302 4,756,151 14,268,454 7,134,227 21,402,682 10,701,341 32,104,024 16,052,012 8,026,006 4,013,003 12,039,010 6,019,505 18,058,516 9,029,258 4,514,629 13,543,888 6,771,944 3,385,972 1,692,986

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