λ
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Atlas › Integer Profiles › Node 92,682,863

92,682,863

72 × 13 × 83 × 1753
Deficient Odd Composite

92,682,863 factors as 7^2 × 13 × 83 × 1753. Its 24 positive divisors give a proper-divisor sum of 24,891,265, so this integer is deficient. The Collatz stopping time is 249 steps.

Prime Factor Structure

Factorization String 7^2 × 13 × 83 × 1753
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 117,574,128
Proper Divisor Sum 24,891,265
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #92682859 ← → #92682881

Radix Representation

Decimal 92682863
Binary 101100001100011101001101111 (27 bits)
Octal 0o541435157
Hexadecimal 0x5863A6F

Divisor Catalog (24)

1 7 13 49 83 91 581 637 1,079 1,753 4,067 7,553 12,271 22,789 52,871 85,897 145,499 159,523 1,018,493 1,116,661 1,891,487 7,129,451 13,240,409 92,682,863

Collatz Trajectory (249 steps to reach 1)

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

92,682,863 278,048,590 139,024,295 417,072,886 208,536,443 625,609,330 312,804,665 938,413,996 469,206,998 234,603,499 703,810,498 351,905,249 1,055,715,748 527,857,874 263,928,937 791,786,812 395,893,406 197,946,703 593,840,110 296,920,055 890,760,166 445,380,083 1,336,140,250 668,070,125 2,004,210,376 1,002,105,188 501,052,594 250,526,297 751,578,892 375,789,446 187,894,723 563,684,170 281,842,085 845,526,256 422,763,128 211,381,564 105,690,782 52,845,391 158,536,174 79,268,087 237,804,262 118,902,131 356,706,394 178,353,197 535,059,592 267,529,796 133,764,898 66,882,449 200,647,348 100,323,674 50,161,837 150,485,512 75,242,756 37,621,378 18,810,689 56,432,068 28,216,034 14,108,017 42,324,052 21,162,026

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