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Atlas › Integer Profiles › Node 18,004,096

18,004,096

27 × 11 × 19 × 673
Abundant Even Composite

18,004,096 factors as 2^7 × 11 × 19 × 673. Its 64 positive divisors give a proper-divisor sum of 23,244,704, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^7 × 11 × 19 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 41,248,800
Proper Divisor Sum 23,244,704
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #18004081 ← → #18004121

Radix Representation

Decimal 18004096
Binary 1000100101011100010000000 (25 bits)
Octal 0o104534200
Hexadecimal 0x112B880

Divisor Catalog (60 of 64)

1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 673 704 836 1,216 1,346 1,408 1,672 2,432 2,692 3,344 5,384 6,688 7,403 10,768 12,787 13,376 14,806 21,536 25,574 26,752 29,612 43,072 51,148 59,224 86,144 102,296 118,448 140,657 204,592 236,896 281,314 409,184 473,792 562,628 818,368 947,584 1,125,256 1,636,736

Collatz Trajectory (138 steps to reach 1)

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

18,004,096 9,002,048 4,501,024 2,250,512 1,125,256 562,628 281,314 140,657 421,972 210,986 105,493 316,480 158,240 79,120 39,560 19,780 9,890 4,945 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179

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