λ
Ratio Atlas
Atlas › Integer Profiles › Node 82,064,015

82,064,015

5 × 112 × 17 × 79 × 101
Deficient Odd Composite

82,064,015 factors as 5 × 11^2 × 17 × 79 × 101. Its 48 positive divisors give a proper-divisor sum of 35,146,225, so this integer is deficient. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 5 × 11^2 × 17 × 79 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 117,210,240
Proper Divisor Sum 35,146,225
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #82064011 ← → #82064027

Radix Representation

Decimal 82064015
Binary 100111001000011001010001111 (27 bits)
Octal 0o471031217
Hexadecimal 0x4E4328F

Divisor Catalog (48)

1 5 11 17 55 79 85 101 121 187 395 505 605 869 935 1,111 1,343 1,717 2,057 4,345 5,555 6,715 7,979 8,585 9,559 10,285 12,221 14,773 18,887 39,895 47,795 61,105 73,865 87,769 94,435 135,643 162,503 207,757 438,845 678,215 812,515 965,459 1,038,785 1,492,073 4,827,295 7,460,365 16,412,803 82,064,015

Collatz Trajectory (241 steps to reach 1)

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

82,064,015 246,192,046 123,096,023 369,288,070 184,644,035 553,932,106 276,966,053 830,898,160 415,449,080 207,724,540 103,862,270 51,931,135 155,793,406 77,896,703 233,690,110 116,845,055 350,535,166 175,267,583 525,802,750 262,901,375 788,704,126 394,352,063 1,183,056,190 591,528,095 1,774,584,286 887,292,143 2,661,876,430 1,330,938,215 3,992,814,646 1,996,407,323 5,989,221,970 2,994,610,985 8,983,832,956 4,491,916,478 2,245,958,239 6,737,874,718 3,368,937,359 10,106,812,078 5,053,406,039 15,160,218,118 7,580,109,059 22,740,327,178 11,370,163,589 34,110,490,768 17,055,245,384 8,527,622,692 4,263,811,346 2,131,905,673 6,395,717,020 3,197,858,510 1,598,929,255 4,796,787,766 2,398,393,883 7,195,181,650 3,597,590,825 10,792,772,476 5,396,386,238 2,698,193,119 8,094,579,358 4,047,289,679

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #82,064,014 Browse Full Index Next Integer #82,064,016 →