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Atlas › Integer Profiles › Node 4,036,995

4,036,995

32 × 5 × 283 × 317
Deficient Odd Composite

4,036,995 factors as 3^2 × 5 × 283 × 317. Its 24 positive divisors give a proper-divisor sum of 3,007,341, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 283 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,044,336
Proper Divisor Sum 3,007,341
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4036993 ← → #4036997

Radix Representation

Decimal 4036995
Binary 1111011001100110000011 (22 bits)
Octal 0o17314603
Hexadecimal 0x3D9983

Divisor Catalog (24)

1 3 5 9 15 45 283 317 849 951 1,415 1,585 2,547 2,853 4,245 4,755 12,735 14,265 89,711 269,133 448,555 807,399 1,345,665 4,036,995

Collatz Trajectory (154 steps to reach 1)

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

4,036,995 12,110,986 6,055,493 18,166,480 9,083,240 4,541,620 2,270,810 1,135,405 3,406,216 1,703,108 851,554 425,777 1,277,332 638,666 319,333 958,000 479,000 239,500 119,750 59,875 179,626 89,813 269,440 134,720 67,360 33,680 16,840 8,420 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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