λ
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Atlas › Integer Profiles › Node 1,803,640

1,803,640

23 × 5 × 67 × 673
Abundant Even Composite

1,803,640 factors as 2^3 × 5 × 67 × 673. Its 32 positive divisors give a proper-divisor sum of 2,321,240, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 67 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,124,880
Proper Divisor Sum 2,321,240
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1803629 ← → #1803647

Radix Representation

Decimal 1803640
Binary 110111000010101111000 (21 bits)
Octal 0o6702570
Hexadecimal 0x1B8578

Divisor Catalog (32)

1 2 4 5 8 10 20 40 67 134 268 335 536 670 673 1,340 1,346 2,680 2,692 3,365 5,384 6,730 13,460 26,920 45,091 90,182 180,364 225,455 360,728 450,910 901,820 1,803,640

Collatz Trajectory (70 steps to reach 1)

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

1,803,640 901,820 450,910 225,455 676,366 338,183 1,014,550 507,275 1,521,826 760,913 2,282,740 1,141,370 570,685 1,712,056 856,028 428,014 214,007 642,022 321,011 963,034 481,517 1,444,552 722,276 361,138 180,569 541,708 270,854 135,427 406,282 203,141 609,424 304,712 152,356 76,178 38,089 114,268 57,134 28,567 85,702 42,851 128,554 64,277 192,832 96,416 48,208 24,104 12,052 6,026 3,013 9,040 4,520 2,260 1,130 565 1,696 848 424 212 106 53

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