λ
Ratio Atlas
Atlas › Integer Profiles › Node 18,242,536

18,242,536

23 × 132 × 103 × 131
Abundant Even Composite

18,242,536 factors as 2^3 × 13^2 × 103 × 131. Its 48 positive divisors give a proper-divisor sum of 19,440,824, so this integer is abundant. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2^3 × 13^2 × 103 × 131
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 37,683,360
Proper Divisor Sum 19,440,824
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #18242507 ← → #18242551

Radix Representation

Decimal 18242536
Binary 1000101100101101111101000 (25 bits)
Octal 0o105455750
Hexadecimal 0x1165BE8

Divisor Catalog (48)

1 2 4 8 13 26 52 103 104 131 169 206 262 338 412 524 676 824 1,048 1,339 1,352 1,703 2,678 3,406 5,356 6,812 10,712 13,493 13,624 17,407 22,139 26,986 34,814 44,278 53,972 69,628 88,556 107,944 139,256 175,409 177,112 350,818 701,636 1,403,272 2,280,317 4,560,634 9,121,268 18,242,536

Collatz Trajectory (81 steps to reach 1)

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

18,242,536 9,121,268 4,560,634 2,280,317 6,840,952 3,420,476 1,710,238 855,119 2,565,358 1,282,679 3,848,038 1,924,019 5,772,058 2,886,029 8,658,088 4,329,044 2,164,522 1,082,261 3,246,784 1,623,392 811,696 405,848 202,924 101,462 50,731 152,194 76,097 228,292 114,146 57,073 171,220 85,610 42,805 128,416 64,208 32,104 16,052 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #18,242,535 Browse Full Index Next Integer #18,242,537 →