17,246,735

5 × 11² × 29 × 983

17,246,735 factors as 5 × 11^2 × 29 × 983. Its 24 positive divisors give a proper-divisor sum of 6,310,225, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 5 × 11^2 × 29 × 983

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,556,960

Proper Divisor Sum 6,310,225

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #17246729 ← → #17246753

Radix Representation

Decimal	17246735
Binary	1000001110010101000001111 (25 bits)
Octal	0o101625017
Hexadecimal	0x1072A0F

Divisor Catalog (24)

Collatz Trajectory (169 steps to reach 1)

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

17,246,735 51,740,206 25,870,103 77,610,310 38,805,155 116,415,466 58,207,733 174,623,200 87,311,600 43,655,800 21,827,900 10,913,950 5,456,975 16,370,926 8,185,463 24,556,390 12,278,195 36,834,586 18,417,293 55,251,880 27,625,940 13,812,970 6,906,485 20,719,456 10,359,728 5,179,864 2,589,932 1,294,966 647,483 1,942,450 971,225 2,913,676 1,456,838 728,419 2,185,258 1,092,629 3,277,888 1,638,944 819,472 409,736 204,868 102,434 51,217 153,652 76,826 38,413 115,240 57,620 28,810 14,405 43,216 21,608 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040

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