λ
Ratio Atlas
Atlas › Integer Profiles › Node 18,366,012

18,366,012

22 × 32 × 7 × 31 × 2351
Abundant Even Composite

18,366,012 factors as 2^2 × 3^2 × 7 × 31 × 2351. Its 72 positive divisors give a proper-divisor sum of 36,426,180, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 31 × 2351
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 54,792,192
Proper Divisor Sum 36,426,180
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #18366011 ← → #18366059

Radix Representation

Decimal 18366012
Binary 1000110000011111000111100 (25 bits)
Octal 0o106037074
Hexadecimal 0x1183E3C

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1,116 1,302 1,953 2,351 2,604 3,906 4,702 7,053 7,812 9,404 14,106 16,457 21,159 28,212 32,914 42,318 49,371 65,828 72,881 84,636 98,742 145,762 148,113 197,484 218,643 291,524 296,226 437,286 510,167 592,452

Collatz Trajectory (107 steps to reach 1)

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

18,366,012 9,183,006 4,591,503 13,774,510 6,887,255 20,661,766 10,330,883 30,992,650 15,496,325 46,488,976 23,244,488 11,622,244 5,811,122 2,905,561 8,716,684 4,358,342 2,179,171 6,537,514 3,268,757 9,806,272 4,903,136 2,451,568 1,225,784 612,892 306,446 153,223 459,670 229,835 689,506 344,753 1,034,260 517,130 258,565 775,696 387,848 193,924 96,962 48,481 145,444 72,722 36,361 109,084 54,542 27,271 81,814 40,907 122,722 61,361 184,084 92,042 46,021 138,064 69,032 34,516 17,258 8,629 25,888 12,944 6,472 3,236

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #18,366,011 Browse Full Index Next Integer #18,366,013 →