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Atlas › Integer Profiles › Node 17,520,118

17,520,118

2 × 7 × 11 × 29 × 3923
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 11 × 29 × 3923
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 33,903,360
Proper Divisor Sum 16,383,242
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #17520059 ← → #17520119

Radix Representation

Decimal 17520118
Binary 1000010110101010111110110 (25 bits)
Octal 0o102652766
Hexadecimal 0x10B55F6

Divisor Catalog (32)

1 2 7 11 14 22 29 58 77 154 203 319 406 638 2,233 3,923 4,466 7,846 27,461 43,153 54,922 86,306 113,767 227,534 302,071 604,142 796,369 1,251,437 1,592,738 2,502,874 8,760,059 17,520,118

Collatz Trajectory (200 steps to reach 1)

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

17,520,118 8,760,059 26,280,178 13,140,089 39,420,268 19,710,134 9,855,067 29,565,202 14,782,601 44,347,804 22,173,902 11,086,951 33,260,854 16,630,427 49,891,282 24,945,641 74,836,924 37,418,462 18,709,231 56,127,694 28,063,847 84,191,542 42,095,771 126,287,314 63,143,657 189,430,972 94,715,486 47,357,743 142,073,230 71,036,615 213,109,846 106,554,923 319,664,770 159,832,385 479,497,156 239,748,578 119,874,289 359,622,868 179,811,434 89,905,717 269,717,152 134,858,576 67,429,288 33,714,644 16,857,322 8,428,661 25,285,984 12,642,992 6,321,496 3,160,748 1,580,374 790,187 2,370,562 1,185,281 3,555,844 1,777,922 888,961 2,666,884 1,333,442 666,721

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