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Atlas › Integer Profiles › Node 41,823,945

41,823,945

35 × 5 × 29 × 1187
Deficient Odd Composite

41,823,945 factors as 3^5 × 5 × 29 × 1187. Its 48 positive divisors give a proper-divisor sum of 36,013,815, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 3^5 × 5 × 29 × 1187
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 77,837,760
Proper Divisor Sum 36,013,815
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #41823917 ← → #41823967

Radix Representation

Decimal 41823945
Binary 10011111100010111011001001 (26 bits)
Octal 0o237427311
Hexadecimal 0x27E2EC9

Divisor Catalog (48)

1 3 5 9 15 27 29 45 81 87 135 145 243 261 405 435 783 1,187 1,215 1,305 2,349 3,561 3,915 5,935 7,047 10,683 11,745 17,805 32,049 34,423 35,235 53,415 96,147 103,269 160,245 172,115 288,441 309,807 480,735 516,345 929,421 1,442,205 1,549,035 2,788,263 4,647,105 8,364,789 13,941,315 41,823,945

Collatz Trajectory (160 steps to reach 1)

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

41,823,945 125,471,836 62,735,918 31,367,959 94,103,878 47,051,939 141,155,818 70,577,909 211,733,728 105,866,864 52,933,432 26,466,716 13,233,358 6,616,679 19,850,038 9,925,019 29,775,058 14,887,529 44,662,588 22,331,294 11,165,647 33,496,942 16,748,471 50,245,414 25,122,707 75,368,122 37,684,061 113,052,184 56,526,092 28,263,046 14,131,523 42,394,570 21,197,285 63,591,856 31,795,928 15,897,964 7,948,982 3,974,491 11,923,474 5,961,737 17,885,212 8,942,606 4,471,303 13,413,910 6,706,955 20,120,866 10,060,433 30,181,300 15,090,650 7,545,325 22,635,976 11,317,988 5,658,994 2,829,497 8,488,492 4,244,246 2,122,123 6,366,370 3,183,185 9,549,556

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