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Atlas › Integer Profiles › Node 80,979,495

80,979,495

3 × 5 × 37 × 53 × 2753
Deficient Odd Composite

80,979,495 factors as 3 × 5 × 37 × 53 × 2753. Its 32 positive divisors give a proper-divisor sum of 54,649,497, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 3 × 5 × 37 × 53 × 2753
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 135,628,992
Proper Divisor Sum 54,649,497
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #80979473 ← → #80979497

Radix Representation

Decimal 80979495
Binary 100110100111010011000100111 (27 bits)
Octal 0o464723047
Hexadecimal 0x4D3A627

Divisor Catalog (32)

1 3 5 15 37 53 111 159 185 265 555 795 1,961 2,753 5,883 8,259 9,805 13,765 29,415 41,295 101,861 145,909 305,583 437,727 509,305 729,545 1,527,915 2,188,635 5,398,633 16,195,899 26,993,165 80,979,495

Collatz Trajectory (135 steps to reach 1)

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

80,979,495 242,938,486 121,469,243 364,407,730 182,203,865 546,611,596 273,305,798 136,652,899 409,958,698 204,979,349 614,938,048 307,469,024 153,734,512 76,867,256 38,433,628 19,216,814 9,608,407 28,825,222 14,412,611 43,237,834 21,618,917 64,856,752 32,428,376 16,214,188 8,107,094 4,053,547 12,160,642 6,080,321 18,240,964 9,120,482 4,560,241 13,680,724 6,840,362 3,420,181 10,260,544 5,130,272 2,565,136 1,282,568 641,284 320,642 160,321 480,964 240,482 120,241 360,724 180,362 90,181 270,544 135,272 67,636 33,818 16,909 50,728 25,364 12,682 6,341 19,024 9,512 4,756 2,378

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