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4,200,735

3 × 5 × 7 × 11 × 3637
Deficient Odd Composite

4,200,735 factors as 3 × 5 × 7 × 11 × 3637. Its 32 positive divisors give a proper-divisor sum of 4,181,217, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 3637
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,381,952
Proper Divisor Sum 4,181,217
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4200733 ← → #4200739

Radix Representation

Decimal 4200735
Binary 10000000001100100011111 (23 bits)
Octal 0o20014437
Hexadecimal 0x40191F

Divisor Catalog (32)

1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1,155 3,637 10,911 18,185 25,459 40,007 54,555 76,377 120,021 127,295 200,035 280,049 381,885 600,105 840,147 1,400,245 4,200,735

Collatz Trajectory (92 steps to reach 1)

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

4,200,735 12,602,206 6,301,103 18,903,310 9,451,655 28,354,966 14,177,483 42,532,450 21,266,225 63,798,676 31,899,338 15,949,669 47,849,008 23,924,504 11,962,252 5,981,126 2,990,563 8,971,690 4,485,845 13,457,536 6,728,768 3,364,384 1,682,192 841,096 420,548 210,274 105,137 315,412 157,706 78,853 236,560 118,280 59,140 29,570 14,785 44,356 22,178 11,089 33,268 16,634 8,317 24,952 12,476 6,238 3,119 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846 5,923 17,770 8,885 26,656

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