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Atlas › Integer Profiles › Node 80,975,736

80,975,736

23 × 32 × 47 × 23929
Abundant Even Composite

80,975,736 factors as 2^3 × 3^2 × 47 × 23929. Its 48 positive divisors give a proper-divisor sum of 143,009,064, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 47 × 23929
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 223,984,800
Proper Divisor Sum 143,009,064
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #80975717 ← → #80975737

Radix Representation

Decimal 80975736
Binary 100110100111001011101111000 (27 bits)
Octal 0o464713570
Hexadecimal 0x4D39778

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1,128 1,692 3,384 23,929 47,858 71,787 95,716 143,574 191,432 215,361 287,148 430,722 574,296 861,444 1,124,663 1,722,888 2,249,326 3,373,989 4,498,652 6,747,978 8,997,304 10,121,967 13,495,956 20,243,934 26,991,912 40,487,868 80,975,736

Collatz Trajectory (223 steps to reach 1)

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

80,975,736 40,487,868 20,243,934 10,121,967 30,365,902 15,182,951 45,548,854 22,774,427 68,323,282 34,161,641 102,484,924 51,242,462 25,621,231 76,863,694 38,431,847 115,295,542 57,647,771 172,943,314 86,471,657 259,414,972 129,707,486 64,853,743 194,561,230 97,280,615 291,841,846 145,920,923 437,762,770 218,881,385 656,644,156 328,322,078 164,161,039 492,483,118 246,241,559 738,724,678 369,362,339 1,108,087,018 554,043,509 1,662,130,528 831,065,264 415,532,632 207,766,316 103,883,158 51,941,579 155,824,738 77,912,369 233,737,108 116,868,554 58,434,277 175,302,832 87,651,416 43,825,708 21,912,854 10,956,427 32,869,282 16,434,641 49,303,924 24,651,962 12,325,981 36,977,944 18,488,972

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