λ
Ratio Atlas
Atlas › Integer Profiles › Node 18,454,380

18,454,380

22 × 3 × 5 × 72 × 6277
Abundant Even Composite

18,454,380 factors as 2^2 × 3 × 5 × 7^2 × 6277. Its 72 positive divisors give a proper-divisor sum of 41,663,748, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7^2 × 6277
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 60,118,128
Proper Divisor Sum 41,663,748
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #18454361 ← → #18454427

Radix Representation

Decimal 18454380
Binary 1000110011001011101101100 (25 bits)
Octal 0o106313554
Hexadecimal 0x119976C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1,470 2,940 6,277 12,554 18,831 25,108 31,385 37,662 43,939 62,770 75,324 87,878 94,155 125,540 131,817 175,756 188,310 219,695 263,634 307,573 376,620 439,390 527,268 615,146 659,085 878,780

Collatz Trajectory (102 steps to reach 1)

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

18,454,380 9,227,190 4,613,595 13,840,786 6,920,393 20,761,180 10,380,590 5,190,295 15,570,886 7,785,443 23,356,330 11,678,165 35,034,496 17,517,248 8,758,624 4,379,312 2,189,656 1,094,828 547,414 273,707 821,122 410,561 1,231,684 615,842 307,921 923,764 461,882 230,941 692,824 346,412 173,206 86,603 259,810 129,905 389,716 194,858 97,429 292,288 146,144 73,072 36,536 18,268 9,134 4,567 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #18,454,379 Browse Full Index Next Integer #18,454,381 →