λ
Ratio Atlas
Atlas › Integer Profiles › Node 18,342,016

18,342,016

27 × 7 × 11 × 1861
Abundant Even Composite

18,342,016 factors as 2^7 × 7 × 11 × 1861. Its 64 positive divisors give a proper-divisor sum of 27,239,744, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^7 × 7 × 11 × 1861
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 45,581,760
Proper Divisor Sum 27,239,744
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #18342013 ← → #18342041

Radix Representation

Decimal 18342016
Binary 1000101111110000010000000 (25 bits)
Octal 0o105760200
Hexadecimal 0x117E080

Divisor Catalog (60 of 64)

1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1,232 1,408 1,861 2,464 3,722 4,928 7,444 9,856 13,027 14,888 20,471 26,054 29,776 40,942 52,108 59,552 81,884 104,216 119,104 143,297 163,768 208,432 238,208 286,594 327,536 416,864 573,188 655,072 833,728 1,146,376 1,310,144 1,667,456 2,292,752

Collatz Trajectory (107 steps to reach 1)

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

18,342,016 9,171,008 4,585,504 2,292,752 1,146,376 573,188 286,594 143,297 429,892 214,946 107,473 322,420 161,210 80,605 241,816 120,908 60,454 30,227 90,682 45,341 136,024 68,012 34,006 17,003 51,010 25,505 76,516 38,258 19,129 57,388 28,694 14,347 43,042 21,521 64,564 32,282 16,141 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #18,342,015 Browse Full Index Next Integer #18,342,017 →