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Atlas › Integer Profiles › Node 18,549,674

18,549,674

2 × 11 × 13 × 79 × 821
Deficient Even Composite

18,549,674 factors as 2 × 11 × 13 × 79 × 821. Its 32 positive divisors give a proper-divisor sum of 14,593,366, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 79 × 821
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 33,143,040
Proper Divisor Sum 14,593,366
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #18549667 ← → #18549677

Radix Representation

Decimal 18549674
Binary 1000110110000101110101010 (25 bits)
Octal 0o106605652
Hexadecimal 0x11B0BAA

Divisor Catalog (32)

1 2 11 13 22 26 79 143 158 286 821 869 1,027 1,642 1,738 2,054 9,031 10,673 11,297 18,062 21,346 22,594 64,859 117,403 129,718 234,806 713,449 843,167 1,426,898 1,686,334 9,274,837 18,549,674

Collatz Trajectory (89 steps to reach 1)

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

18,549,674 9,274,837 27,824,512 13,912,256 6,956,128 3,478,064 1,739,032 869,516 434,758 217,379 652,138 326,069 978,208 489,104 244,552 122,276 61,138 30,569 91,708 45,854 22,927 68,782 34,391 103,174 51,587 154,762 77,381 232,144 116,072 58,036 29,018 14,509 43,528 21,764 10,882 5,441 16,324 8,162 4,081 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280

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