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Atlas › Integer Profiles › Node 38,192,462

38,192,462

2 × 72 × 11 × 71 × 499
Deficient Even Composite

38,192,462 factors as 2 × 7^2 × 11 × 71 × 499. Its 48 positive divisors give a proper-divisor sum of 35,679,538, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 71 × 499
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 73,872,000
Proper Divisor Sum 35,679,538
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #38192461 ← → #38192501

Radix Representation

Decimal 38192462
Binary 10010001101100010101001110 (26 bits)
Octal 0o221542516
Hexadecimal 0x246C54E

Divisor Catalog (48)

1 2 7 11 14 22 49 71 77 98 142 154 497 499 539 781 994 998 1,078 1,562 3,479 3,493 5,467 5,489 6,958 6,986 10,934 10,978 24,451 35,429 38,269 38,423 48,902 70,858 76,538 76,846 248,003 268,961 389,719 496,006 537,922 779,438 1,736,021 2,728,033 3,472,042 5,456,066 19,096,231 38,192,462

Collatz Trajectory (165 steps to reach 1)

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

38,192,462 19,096,231 57,288,694 28,644,347 85,933,042 42,966,521 128,899,564 64,449,782 32,224,891 96,674,674 48,337,337 145,012,012 72,506,006 36,253,003 108,759,010 54,379,505 163,138,516 81,569,258 40,784,629 122,353,888 61,176,944 30,588,472 15,294,236 7,647,118 3,823,559 11,470,678 5,735,339 17,206,018 8,603,009 25,809,028 12,904,514 6,452,257 19,356,772 9,678,386 4,839,193 14,517,580 7,258,790 3,629,395 10,888,186 5,444,093 16,332,280 8,166,140 4,083,070 2,041,535 6,124,606 3,062,303 9,186,910 4,593,455 13,780,366 6,890,183 20,670,550 10,335,275 31,005,826 15,502,913 46,508,740 23,254,370 11,627,185 34,881,556 17,440,778 8,720,389

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