λ
Ratio Atlas

18,111,742

2 × 11 × 823261
Deficient Even Composite

18,111,742 factors as 2 × 11 × 823261. Its 8 positive divisors give a proper-divisor sum of 11,525,690, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2 × 11 × 823261
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 29,637,432
Proper Divisor Sum 11,525,690
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #18111727 ← → #18111763

Radix Representation

Decimal 18111742
Binary 1000101000101110011111110 (25 bits)
Octal 0o105056376
Hexadecimal 0x1145CFE

Divisor Catalog (8)

Collatz Trajectory (138 steps to reach 1)

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

18,111,742 9,055,871 27,167,614 13,583,807 40,751,422 20,375,711 61,127,134 30,563,567 91,690,702 45,845,351 137,536,054 68,768,027 206,304,082 103,152,041 309,456,124 154,728,062 77,364,031 232,092,094 116,046,047 348,138,142 174,069,071 522,207,214 261,103,607 783,310,822 391,655,411 1,174,966,234 587,483,117 1,762,449,352 881,224,676 440,612,338 220,306,169 660,918,508 330,459,254 165,229,627 495,688,882 247,844,441 743,533,324 371,766,662 185,883,331 557,649,994 278,824,997 836,474,992 418,237,496 209,118,748 104,559,374 52,279,687 156,839,062 78,419,531 235,258,594 117,629,297 352,887,892 176,443,946 88,221,973 264,665,920 132,332,960 66,166,480 33,083,240 16,541,620 8,270,810 4,135,405

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