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Atlas › Integer Profiles › Node 18,683,076

18,683,076

22 × 3 × 29 × 37 × 1451
Abundant Even Composite

18,683,076 factors as 2^2 × 3 × 29 × 37 × 1451. Its 48 positive divisors give a proper-divisor sum of 27,664,764, so this integer is abundant. The Collatz stopping time is 226 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 37 × 1451
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 46,347,840
Proper Divisor Sum 27,664,764
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #18683057 ← → #18683143

Radix Representation

Decimal 18683076
Binary 1000111010001010011000100 (25 bits)
Octal 0o107212304
Hexadecimal 0x11D14C4

Divisor Catalog (48)

1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 348 444 1,073 1,451 2,146 2,902 3,219 4,292 4,353 5,804 6,438 8,706 12,876 17,412 42,079 53,687 84,158 107,374 126,237 161,061 168,316 214,748 252,474 322,122 504,948 644,244 1,556,923 3,113,846 4,670,769 6,227,692 9,341,538 18,683,076

Collatz Trajectory (226 steps to reach 1)

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

18,683,076 9,341,538 4,670,769 14,012,308 7,006,154 3,503,077 10,509,232 5,254,616 2,627,308 1,313,654 656,827 1,970,482 985,241 2,955,724 1,477,862 738,931 2,216,794 1,108,397 3,325,192 1,662,596 831,298 415,649 1,246,948 623,474 311,737 935,212 467,606 233,803 701,410 350,705 1,052,116 526,058 263,029 789,088 394,544 197,272 98,636 49,318 24,659 73,978 36,989 110,968 55,484 27,742 13,871 41,614 20,807 62,422 31,211 93,634 46,817 140,452 70,226 35,113 105,340 52,670 26,335 79,006 39,503 118,510

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