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Atlas › Integer Profiles › Node 18,467,616

18,467,616

25 × 3 × 47 × 4093
Abundant Even Composite

18,467,616 factors as 2^5 × 3 × 47 × 4093. Its 48 positive divisors give a proper-divisor sum of 31,053,408, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 47 × 4093
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 49,521,024
Proper Divisor Sum 31,053,408
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #18467587 ← → #18467623

Radix Representation

Decimal 18467616
Binary 1000110011100101100100000 (25 bits)
Octal 0o106345440
Hexadecimal 0x119CB20

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1,128 1,504 2,256 4,093 4,512 8,186 12,279 16,372 24,558 32,744 49,116 65,488 98,232 130,976 192,371 196,464 384,742 392,928 577,113 769,484 1,154,226 1,538,968 2,308,452 3,077,936 4,616,904 6,155,872 9,233,808 18,467,616

Collatz Trajectory (102 steps to reach 1)

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

18,467,616 9,233,808 4,616,904 2,308,452 1,154,226 577,113 1,731,340 865,670 432,835 1,298,506 649,253 1,947,760 973,880 486,940 243,470 121,735 365,206 182,603 547,810 273,905 821,716 410,858 205,429 616,288 308,144 154,072 77,036 38,518 19,259 57,778 28,889 86,668 43,334 21,667 65,002 32,501 97,504 48,752 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256

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