λ
Ratio Atlas

17,530,707

3 × 113 × 51713
Deficient Odd Composite

17,530,707 factors as 3 × 113 × 51713. Its 8 positive divisors give a proper-divisor sum of 6,050,877, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 3 × 113 × 51713
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 23,581,584
Proper Divisor Sum 6,050,877
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #17530697 ← → #17530727

Radix Representation

Decimal 17530707
Binary 1000010110111111101010011 (25 bits)
Octal 0o102677523
Hexadecimal 0x10B7F53

Divisor Catalog (8)

Collatz Trajectory (174 steps to reach 1)

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

17,530,707 52,592,122 26,296,061 78,888,184 39,444,092 19,722,046 9,861,023 29,583,070 14,791,535 44,374,606 22,187,303 66,561,910 33,280,955 99,842,866 49,921,433 149,764,300 74,882,150 37,441,075 112,323,226 56,161,613 168,484,840 84,242,420 42,121,210 21,060,605 63,181,816 31,590,908 15,795,454 7,897,727 23,693,182 11,846,591 35,539,774 17,769,887 53,309,662 26,654,831 79,964,494 39,982,247 119,946,742 59,973,371 179,920,114 89,960,057 269,880,172 134,940,086 67,470,043 202,410,130 101,205,065 303,615,196 151,807,598 75,903,799 227,711,398 113,855,699 341,567,098 170,783,549 512,350,648 256,175,324 128,087,662 64,043,831 192,131,494 96,065,747 288,197,242 144,098,621

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