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Atlas › Integer Profiles › Node 18,234,076

18,234,076

22 × 72 × 31 × 3001
Abundant Even Composite

18,234,076 factors as 2^2 × 7^2 × 31 × 3001. Its 36 positive divisors give a proper-divisor sum of 20,095,460, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 31 × 3001
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 38,329,536
Proper Divisor Sum 20,095,460
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #18234071 ← → #18234077

Radix Representation

Decimal 18234076
Binary 1000101100011101011011100 (25 bits)
Octal 0o105435334
Hexadecimal 0x1163ADC

Divisor Catalog (36)

1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 1,519 3,001 3,038 6,002 6,076 12,004 21,007 42,014 84,028 93,031 147,049 186,062 294,098 372,124 588,196 651,217 1,302,434 2,604,868 4,558,519 9,117,038 18,234,076

Collatz Trajectory (195 steps to reach 1)

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

18,234,076 9,117,038 4,558,519 13,675,558 6,837,779 20,513,338 10,256,669 30,770,008 15,385,004 7,692,502 3,846,251 11,538,754 5,769,377 17,308,132 8,654,066 4,327,033 12,981,100 6,490,550 3,245,275 9,735,826 4,867,913 14,603,740 7,301,870 3,650,935 10,952,806 5,476,403 16,429,210 8,214,605 24,643,816 12,321,908 6,160,954 3,080,477 9,241,432 4,620,716 2,310,358 1,155,179 3,465,538 1,732,769 5,198,308 2,599,154 1,299,577 3,898,732 1,949,366 974,683 2,924,050 1,462,025 4,386,076 2,193,038 1,096,519 3,289,558 1,644,779 4,934,338 2,467,169 7,401,508 3,700,754 1,850,377 5,551,132 2,775,566 1,387,783 4,163,350

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