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Atlas › Integer Profiles › Node 17,469,693

17,469,693

32 × 17 × 227 × 503
Deficient Odd Composite

17,469,693 factors as 3^2 × 17 × 227 × 503. Its 24 positive divisors give a proper-divisor sum of 9,419,715, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 3^2 × 17 × 227 × 503
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 26,889,408
Proper Divisor Sum 9,419,715
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #17469691 ← → #17469733

Radix Representation

Decimal 17469693
Binary 1000010101001000011111101 (25 bits)
Octal 0o102510375
Hexadecimal 0x10A90FD

Divisor Catalog (24)

1 3 9 17 51 153 227 503 681 1,509 2,043 3,859 4,527 8,551 11,577 25,653 34,731 76,959 114,181 342,543 1,027,629 1,941,077 5,823,231 17,469,693

Collatz Trajectory (138 steps to reach 1)

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

17,469,693 52,409,080 26,204,540 13,102,270 6,551,135 19,653,406 9,826,703 29,480,110 14,740,055 44,220,166 22,110,083 66,330,250 33,165,125 99,495,376 49,747,688 24,873,844 12,436,922 6,218,461 18,655,384 9,327,692 4,663,846 2,331,923 6,995,770 3,497,885 10,493,656 5,246,828 2,623,414 1,311,707 3,935,122 1,967,561 5,902,684 2,951,342 1,475,671 4,427,014 2,213,507 6,640,522 3,320,261 9,960,784 4,980,392 2,490,196 1,245,098 622,549 1,867,648 933,824 466,912 233,456 116,728 58,364 29,182 14,591 43,774 21,887 65,662 32,831 98,494 49,247 147,742 73,871 221,614 110,807

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