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Atlas › Integer Profiles › Node 17,320,366

17,320,366

2 × 7 × 29 × 37 × 1153
Deficient Even Composite

17,320,366 factors as 2 × 7 × 29 × 37 × 1153. Its 32 positive divisors give a proper-divisor sum of 14,253,074, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2 × 7 × 29 × 37 × 1153
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 31,573,440
Proper Divisor Sum 14,253,074
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #17320349 ← → #17320421

Radix Representation

Decimal 17320366
Binary 1000010000100100110101110 (25 bits)
Octal 0o102044656
Hexadecimal 0x10849AE

Divisor Catalog (32)

1 2 7 14 29 37 58 74 203 259 406 518 1,073 1,153 2,146 2,306 7,511 8,071 15,022 16,142 33,437 42,661 66,874 85,322 234,059 298,627 468,118 597,254 1,237,169 2,474,338 8,660,183 17,320,366

Collatz Trajectory (213 steps to reach 1)

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

17,320,366 8,660,183 25,980,550 12,990,275 38,970,826 19,485,413 58,456,240 29,228,120 14,614,060 7,307,030 3,653,515 10,960,546 5,480,273 16,440,820 8,220,410 4,110,205 12,330,616 6,165,308 3,082,654 1,541,327 4,623,982 2,311,991 6,935,974 3,467,987 10,403,962 5,201,981 15,605,944 7,802,972 3,901,486 1,950,743 5,852,230 2,926,115 8,778,346 4,389,173 13,167,520 6,583,760 3,291,880 1,645,940 822,970 411,485 1,234,456 617,228 308,614 154,307 462,922 231,461 694,384 347,192 173,596 86,798 43,399 130,198 65,099 195,298 97,649 292,948 146,474 73,237 219,712 109,856

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