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Atlas › Integer Profiles › Node 18,802,446

18,802,446

2 × 3 × 13 × 193 × 1249
Abundant Even Composite

18,802,446 factors as 2 × 3 × 13 × 193 × 1249. Its 32 positive divisors give a proper-divisor sum of 21,937,554, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 193 × 1249
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 40,740,000
Proper Divisor Sum 21,937,554
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #18802429 ← → #18802447

Radix Representation

Decimal 18802446
Binary 1000111101110011100001110 (25 bits)
Octal 0o107563416
Hexadecimal 0x11EE70E

Divisor Catalog (32)

1 2 3 6 13 26 39 78 193 386 579 1,158 1,249 2,498 2,509 3,747 5,018 7,494 7,527 15,054 16,237 32,474 48,711 97,422 241,057 482,114 723,171 1,446,342 3,133,741 6,267,482 9,401,223 18,802,446

Collatz Trajectory (151 steps to reach 1)

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

18,802,446 9,401,223 28,203,670 14,101,835 42,305,506 21,152,753 63,458,260 31,729,130 15,864,565 47,593,696 23,796,848 11,898,424 5,949,212 2,974,606 1,487,303 4,461,910 2,230,955 6,692,866 3,346,433 10,039,300 5,019,650 2,509,825 7,529,476 3,764,738 1,882,369 5,647,108 2,823,554 1,411,777 4,235,332 2,117,666 1,058,833 3,176,500 1,588,250 794,125 2,382,376 1,191,188 595,594 297,797 893,392 446,696 223,348 111,674 55,837 167,512 83,756 41,878 20,939 62,818 31,409 94,228 47,114 23,557 70,672 35,336 17,668 8,834 4,417 13,252 6,626 3,313

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