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Atlas › Integer Profiles › Node 17,517,164

17,517,164

22 × 7 × 192 × 1733
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 19^2 × 1733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 36,996,624
Proper Divisor Sum 19,479,460
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #17517163 ← → #17517167

Radix Representation

Decimal 17517164
Binary 1000010110100101001101100 (25 bits)
Octal 0o102645154
Hexadecimal 0x10B4A6C

Divisor Catalog (36)

1 2 4 7 14 19 28 38 76 133 266 361 532 722 1,444 1,733 2,527 3,466 5,054 6,932 10,108 12,131 24,262 32,927 48,524 65,854 131,708 230,489 460,978 625,613 921,956 1,251,226 2,502,452 4,379,291 8,758,582 17,517,164

Collatz Trajectory (200 steps to reach 1)

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

17,517,164 8,758,582 4,379,291 13,137,874 6,568,937 19,706,812 9,853,406 4,926,703 14,780,110 7,390,055 22,170,166 11,085,083 33,255,250 16,627,625 49,882,876 24,941,438 12,470,719 37,412,158 18,706,079 56,118,238 28,059,119 84,177,358 42,088,679 126,266,038 63,133,019 189,399,058 94,699,529 284,098,588 142,049,294 71,024,647 213,073,942 106,536,971 319,610,914 159,805,457 479,416,372 239,708,186 119,854,093 359,562,280 179,781,140 89,890,570 44,945,285 134,835,856 67,417,928 33,708,964 16,854,482 8,427,241 25,281,724 12,640,862 6,320,431 18,961,294 9,480,647 28,441,942 14,220,971 42,662,914 21,331,457 63,994,372 31,997,186 15,998,593 47,995,780 23,997,890

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