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Atlas › Integer Profiles › Node 1,798,544

1,798,544

24 × 112 × 929
Abundant Even Composite

1,798,544 factors as 2^4 × 11^2 × 929. Its 30 positive divisors give a proper-divisor sum of 2,035,846, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^4 × 11^2 × 929
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 3,834,390
Proper Divisor Sum 2,035,846
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1798543 ← → #1798571

Radix Representation

Decimal 1798544
Binary 110110111000110010000 (21 bits)
Octal 0o6670620
Hexadecimal 0x1B7190

Divisor Catalog (30)

1 2 4 8 11 16 22 44 88 121 176 242 484 929 968 1,858 1,936 3,716 7,432 10,219 14,864 20,438 40,876 81,752 112,409 163,504 224,818 449,636 899,272 1,798,544

Collatz Trajectory (189 steps to reach 1)

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

1,798,544 899,272 449,636 224,818 112,409 337,228 168,614 84,307 252,922 126,461 379,384 189,692 94,846 47,423 142,270 71,135 213,406 106,703 320,110 160,055 480,166 240,083 720,250 360,125 1,080,376 540,188 270,094 135,047 405,142 202,571 607,714 303,857 911,572 455,786 227,893 683,680 341,840 170,920 85,460 42,730 21,365 64,096 32,048 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903

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