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Atlas › Integer Profiles › Node 1,602,736

1,602,736

24 × 109 × 919
Deficient Even Composite

1,602,736 factors as 2^4 × 109 × 919. Its 20 positive divisors give a proper-divisor sum of 1,534,464, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^4 × 109 × 919
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,137,200
Proper Divisor Sum 1,534,464
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1602721 ← → #1602737

Radix Representation

Decimal 1602736
Binary 110000111010010110000 (21 bits)
Octal 0o6072260
Hexadecimal 0x1874B0

Divisor Catalog (20)

1 2 4 8 16 109 218 436 872 919 1,744 1,838 3,676 7,352 14,704 100,171 200,342 400,684 801,368 1,602,736

Collatz Trajectory (119 steps to reach 1)

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

1,602,736 801,368 400,684 200,342 100,171 300,514 150,257 450,772 225,386 112,693 338,080 169,040 84,520 42,260 21,130 10,565 31,696 15,848 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192

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