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Atlas › Integer Profiles › Node 80,077,360

80,077,360

24 × 5 × 11 × 90997
Abundant Even Composite

80,077,360 factors as 2^4 × 5 × 11 × 90997. Its 40 positive divisors give a proper-divisor sum of 123,030,176, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 90997
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 203,107,536
Proper Divisor Sum 123,030,176
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #80077357 ← → #80077367

Radix Representation

Decimal 80077360
Binary 100110001011110001000110000 (27 bits)
Octal 0o461361060
Hexadecimal 0x4C5E230

Divisor Catalog (40)

1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 90,997 181,994 363,988 454,985 727,976 909,970 1,000,967 1,455,952 1,819,940 2,001,934 3,639,880 4,003,868 5,004,835 7,279,760 8,007,736 10,009,670 16,015,472 20,019,340 40,038,680 80,077,360

Collatz Trajectory (166 steps to reach 1)

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

80,077,360 40,038,680 20,019,340 10,009,670 5,004,835 15,014,506 7,507,253 22,521,760 11,260,880 5,630,440 2,815,220 1,407,610 703,805 2,111,416 1,055,708 527,854 263,927 791,782 395,891 1,187,674 593,837 1,781,512 890,756 445,378 222,689 668,068 334,034 167,017 501,052 250,526 125,263 375,790 187,895 563,686 281,843 845,530 422,765 1,268,296 634,148 317,074 158,537 475,612 237,806 118,903 356,710 178,355 535,066 267,533 802,600 401,300 200,650 100,325 300,976 150,488 75,244 37,622 18,811 56,434 28,217 84,652

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