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Atlas › Integer Profiles › Node 92,016,243

92,016,243

34 × 11 × 61 × 1693
Deficient Odd Composite

92,016,243 factors as 3^4 × 11 × 61 × 1693. Its 40 positive divisors give a proper-divisor sum of 60,484,413, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 3^4 × 11 × 61 × 1693
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 152,500,656
Proper Divisor Sum 60,484,413
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #92016227 ← → #92016247

Radix Representation

Decimal 92016243
Binary 101011111000000111001110011 (27 bits)
Octal 0o537007163
Hexadecimal 0x57C0E73

Divisor Catalog (40)

1 3 9 11 27 33 61 81 99 183 297 549 671 891 1,647 1,693 2,013 4,941 5,079 6,039 15,237 18,117 18,623 45,711 54,351 55,869 103,273 137,133 167,607 309,819 502,821 929,457 1,136,003 1,508,463 2,788,371 3,408,009 8,365,113 10,224,027 30,672,081 92,016,243

Collatz Trajectory (187 steps to reach 1)

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

92,016,243 276,048,730 138,024,365 414,073,096 207,036,548 103,518,274 51,759,137 155,277,412 77,638,706 38,819,353 116,458,060 58,229,030 29,114,515 87,343,546 43,671,773 131,015,320 65,507,660 32,753,830 16,376,915 49,130,746 24,565,373 73,696,120 36,848,060 18,424,030 9,212,015 27,636,046 13,818,023 41,454,070 20,727,035 62,181,106 31,090,553 93,271,660 46,635,830 23,317,915 69,953,746 34,976,873 104,930,620 52,465,310 26,232,655 78,697,966 39,348,983 118,046,950 59,023,475 177,070,426 88,535,213 265,605,640 132,802,820 66,401,410 33,200,705 99,602,116 49,801,058 24,900,529 74,701,588 37,350,794 18,675,397 56,026,192 28,013,096 14,006,548 7,003,274 3,501,637

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