λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,018,136

12,018,136

23 × 13 × 73 × 1583
Abundant Even Composite

12,018,136 factors as 2^3 × 13 × 73 × 1583. Its 32 positive divisors give a proper-divisor sum of 12,597,224, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 73 × 1583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,615,360
Proper Divisor Sum 12,597,224
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #12018107 ← → #12018163

Radix Representation

Decimal 12018136
Binary 101101110110000111011000 (24 bits)
Octal 0o55660730
Hexadecimal 0xB761D8

Divisor Catalog (32)

1 2 4 8 13 26 52 73 104 146 292 584 949 1,583 1,898 3,166 3,796 6,332 7,592 12,664 20,579 41,158 82,316 115,559 164,632 231,118 462,236 924,472 1,502,267 3,004,534 6,009,068 12,018,136

Collatz Trajectory (140 steps to reach 1)

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

12,018,136 6,009,068 3,004,534 1,502,267 4,506,802 2,253,401 6,760,204 3,380,102 1,690,051 5,070,154 2,535,077 7,605,232 3,802,616 1,901,308 950,654 475,327 1,425,982 712,991 2,138,974 1,069,487 3,208,462 1,604,231 4,812,694 2,406,347 7,219,042 3,609,521 10,828,564 5,414,282 2,707,141 8,121,424 4,060,712 2,030,356 1,015,178 507,589 1,522,768 761,384 380,692 190,346 95,173 285,520 142,760 71,380 35,690 17,845 53,536 26,768 13,384 6,692 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #12,018,135 Browse Full Index Next Integer #12,018,137 →