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Atlas › Integer Profiles › Node 80,939,745

80,939,745

32 × 5 × 53 × 33937
Deficient Odd Composite

80,939,745 factors as 3^2 × 5 × 53 × 33937. Its 24 positive divisors give a proper-divisor sum of 62,007,111, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 53 × 33937
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 142,946,856
Proper Divisor Sum 62,007,111
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #80939743 ← → #80939759

Radix Representation

Decimal 80939745
Binary 100110100110000101011100001 (27 bits)
Octal 0o464605341
Hexadecimal 0x4D30AE1

Divisor Catalog (24)

1 3 5 9 15 45 53 159 265 477 795 2,385 33,937 101,811 169,685 305,433 509,055 1,527,165 1,798,661 5,395,983 8,993,305 16,187,949 26,979,915 80,939,745

Collatz Trajectory (161 steps to reach 1)

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

80,939,745 242,819,236 121,409,618 60,704,809 182,114,428 91,057,214 45,528,607 136,585,822 68,292,911 204,878,734 102,439,367 307,318,102 153,659,051 460,977,154 230,488,577 691,465,732 345,732,866 172,866,433 518,599,300 259,299,650 129,649,825 388,949,476 194,474,738 97,237,369 291,712,108 145,856,054 72,928,027 218,784,082 109,392,041 328,176,124 164,088,062 82,044,031 246,132,094 123,066,047 369,198,142 184,599,071 553,797,214 276,898,607 830,695,822 415,347,911 1,246,043,734 623,021,867 1,869,065,602 934,532,801 2,803,598,404 1,401,799,202 700,899,601 2,102,698,804 1,051,349,402 525,674,701 1,577,024,104 788,512,052 394,256,026 197,128,013 591,384,040 295,692,020 147,846,010 73,923,005 221,769,016 110,884,508

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