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Atlas › Integer Profiles › Node 80,920,950

80,920,950

2 × 3 × 52 × 11 × 49043
Abundant Even Composite

80,920,950 factors as 2 × 3 × 5^2 × 11 × 49043. Its 48 positive divisors give a proper-divisor sum of 138,011,466, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 11 × 49043
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 218,932,416
Proper Divisor Sum 138,011,466
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #80920949 ← → #80920951

Radix Representation

Decimal 80920950
Binary 100110100101100000101110110 (27 bits)
Octal 0o464540566
Hexadecimal 0x4D2C176

Divisor Catalog (48)

1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1,650 49,043 98,086 147,129 245,215 294,258 490,430 539,473 735,645 1,078,946 1,226,075 1,471,290 1,618,419 2,452,150 2,697,365 3,236,838 3,678,225 5,394,730 7,356,450 8,092,095 13,486,825 16,184,190 26,973,650 40,460,475 80,920,950

Collatz Trajectory (223 steps to reach 1)

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

80,920,950 40,460,475 121,381,426 60,690,713 182,072,140 91,036,070 45,518,035 136,554,106 68,277,053 204,831,160 102,415,580 51,207,790 25,603,895 76,811,686 38,405,843 115,217,530 57,608,765 172,826,296 86,413,148 43,206,574 21,603,287 64,809,862 32,404,931 97,214,794 48,607,397 145,822,192 72,911,096 36,455,548 18,227,774 9,113,887 27,341,662 13,670,831 41,012,494 20,506,247 61,518,742 30,759,371 92,278,114 46,139,057 138,417,172 69,208,586 34,604,293 103,812,880 51,906,440 25,953,220 12,976,610 6,488,305 19,464,916 9,732,458 4,866,229 14,598,688 7,299,344 3,649,672 1,824,836 912,418 456,209 1,368,628 684,314 342,157 1,026,472 513,236

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