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Atlas › Integer Profiles › Node 40,923,945

40,923,945

32 × 5 × 412 × 541
Deficient Odd Composite

40,923,945 factors as 3^2 × 5 × 41^2 × 541. Its 36 positive divisors give a proper-divisor sum of 31,917,603, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 41^2 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 72,841,548
Proper Divisor Sum 31,917,603
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #40923943 ← → #40923977

Radix Representation

Decimal 40923945
Binary 10011100000111001100101001 (26 bits)
Octal 0o234071451
Hexadecimal 0x2707329

Divisor Catalog (36)

1 3 5 9 15 41 45 123 205 369 541 615 1,623 1,681 1,845 2,705 4,869 5,043 8,115 8,405 15,129 22,181 24,345 25,215 66,543 75,645 110,905 199,629 332,715 909,421 998,145 2,728,263 4,547,105 8,184,789 13,641,315 40,923,945

Collatz Trajectory (134 steps to reach 1)

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

40,923,945 122,771,836 61,385,918 30,692,959 92,078,878 46,039,439 138,118,318 69,059,159 207,177,478 103,588,739 310,766,218 155,383,109 466,149,328 233,074,664 116,537,332 58,268,666 29,134,333 87,403,000 43,701,500 21,850,750 10,925,375 32,776,126 16,388,063 49,164,190 24,582,095 73,746,286 36,873,143 110,619,430 55,309,715 165,929,146 82,964,573 248,893,720 124,446,860 62,223,430 31,111,715 93,335,146 46,667,573 140,002,720 70,001,360 35,000,680 17,500,340 8,750,170 4,375,085 13,125,256 6,562,628 3,281,314 1,640,657 4,921,972 2,460,986 1,230,493 3,691,480 1,845,740 922,870 461,435 1,384,306 692,153 2,076,460 1,038,230 519,115 1,557,346

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