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Atlas › Integer Profiles › Node 2,019,520

2,019,520

26 × 5 × 6311
Abundant Even Composite

2,019,520 factors as 2^6 × 5 × 6311. Its 28 positive divisors give a proper-divisor sum of 2,790,224, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 6311
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 4,809,744
Proper Divisor Sum 2,790,224
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2019503 ← → #2019533

Radix Representation

Decimal 2019520
Binary 111101101000011000000 (21 bits)
Octal 0o7550300
Hexadecimal 0x1ED0C0

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 6,311 12,622 25,244 31,555 50,488 63,110 100,976 126,220 201,952 252,440 403,904 504,880 1,009,760 2,019,520

Collatz Trajectory (109 steps to reach 1)

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

2,019,520 1,009,760 504,880 252,440 126,220 63,110 31,555 94,666 47,333 142,000 71,000 35,500 17,750 8,875 26,626 13,313 39,940 19,970 9,985 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158

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