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Atlas › Integer Profiles › Node 80,945,820

80,945,820

22 × 32 × 5 × 449699
Abundant Even Composite

80,945,820 factors as 2^2 × 3^2 × 5 × 449699. Its 36 positive divisors give a proper-divisor sum of 164,590,380, so this integer is abundant. The Collatz stopping time is 298 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 449699
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 245,536,200
Proper Divisor Sum 164,590,380
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #80945819 ← → #80945897

Radix Representation

Decimal 80945820
Binary 100110100110010001010011100 (27 bits)
Octal 0o464621234
Hexadecimal 0x4D3229C

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 449,699 899,398 1,349,097 1,798,796 2,248,495 2,698,194 4,047,291 4,496,990 5,396,388 6,745,485 8,094,582 8,993,980 13,490,970 16,189,164 20,236,455 26,981,940 40,472,910 80,945,820

Collatz Trajectory (298 steps to reach 1)

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

80,945,820 40,472,910 20,236,455 60,709,366 30,354,683 91,064,050 45,532,025 136,596,076 68,298,038 34,149,019 102,447,058 51,223,529 153,670,588 76,835,294 38,417,647 115,252,942 57,626,471 172,879,414 86,439,707 259,319,122 129,659,561 388,978,684 194,489,342 97,244,671 291,734,014 145,867,007 437,601,022 218,800,511 656,401,534 328,200,767 984,602,302 492,301,151 1,476,903,454 738,451,727 2,215,355,182 1,107,677,591 3,323,032,774 1,661,516,387 4,984,549,162 2,492,274,581 7,476,823,744 3,738,411,872 1,869,205,936 934,602,968 467,301,484 233,650,742 116,825,371 350,476,114 175,238,057 525,714,172 262,857,086 131,428,543 394,285,630 197,142,815 591,428,446 295,714,223 887,142,670 443,571,335 1,330,714,006 665,357,003

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