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Atlas › Integer Profiles › Node 80,025,231

80,025,231

3 × 11 × 13 × 167 × 1117
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 13 × 167 × 1117
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 126,217,728
Proper Divisor Sum 46,192,497
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #80025227 ← → #80025233

Radix Representation

Decimal 80025231
Binary 100110001010001011010001111 (27 bits)
Octal 0o461213217
Hexadecimal 0x4C5168F

Divisor Catalog (32)

1 3 11 13 33 39 143 167 429 501 1,117 1,837 2,171 3,351 5,511 6,513 12,287 14,521 23,881 36,861 43,563 71,643 159,731 186,539 479,193 559,617 2,051,929 2,425,007 6,155,787 7,275,021 26,675,077 80,025,231

Collatz Trajectory (192 steps to reach 1)

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

80,025,231 240,075,694 120,037,847 360,113,542 180,056,771 540,170,314 270,085,157 810,255,472 405,127,736 202,563,868 101,281,934 50,640,967 151,922,902 75,961,451 227,884,354 113,942,177 341,826,532 170,913,266 85,456,633 256,369,900 128,184,950 64,092,475 192,277,426 96,138,713 288,416,140 144,208,070 72,104,035 216,312,106 108,156,053 324,468,160 162,234,080 81,117,040 40,558,520 20,279,260 10,139,630 5,069,815 15,209,446 7,604,723 22,814,170 11,407,085 34,221,256 17,110,628 8,555,314 4,277,657 12,832,972 6,416,486 3,208,243 9,624,730 4,812,365 14,437,096 7,218,548 3,609,274 1,804,637 5,413,912 2,706,956 1,353,478 676,739 2,030,218 1,015,109 3,045,328

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