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Atlas › Integer Profiles › Node 80,919,727

80,919,727

72 × 19 × 23 × 3779
Deficient Odd Composite

80,919,727 factors as 7^2 × 19 × 23 × 3779. Its 24 positive divisors give a proper-divisor sum of 22,501,073, so this integer is deficient. The Collatz stopping time is 246 steps.

Prime Factor Structure

Factorization String 7^2 × 19 × 23 × 3779
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 103,420,800
Proper Divisor Sum 22,501,073
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #80919673 ← → #80919737

Radix Representation

Decimal 80919727
Binary 100110100101011110010101111 (27 bits)
Octal 0o464536257
Hexadecimal 0x4D2BCAF

Divisor Catalog (24)

1 7 19 23 49 133 161 437 931 1,127 3,059 3,779 21,413 26,453 71,801 86,917 185,171 502,607 608,419 1,651,423 3,518,249 4,258,933 11,559,961 80,919,727

Collatz Trajectory (246 steps to reach 1)

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

80,919,727 242,759,182 121,379,591 364,138,774 182,069,387 546,208,162 273,104,081 819,312,244 409,656,122 204,828,061 614,484,184 307,242,092 153,621,046 76,810,523 230,431,570 115,215,785 345,647,356 172,823,678 86,411,839 259,235,518 129,617,759 388,853,278 194,426,639 583,279,918 291,639,959 874,919,878 437,459,939 1,312,379,818 656,189,909 1,968,569,728 984,284,864 492,142,432 246,071,216 123,035,608 61,517,804 30,758,902 15,379,451 46,138,354 23,069,177 69,207,532 34,603,766 17,301,883 51,905,650 25,952,825 77,858,476 38,929,238 19,464,619 58,393,858 29,196,929 87,590,788 43,795,394 21,897,697 65,693,092 32,846,546 16,423,273 49,269,820 24,634,910 12,317,455 36,952,366 18,476,183

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