λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,012,012

3,012,012

22 × 33 × 1672
Abundant Even Composite

3,012,012 factors as 2^2 × 3^3 × 167^2. Its 36 positive divisors give a proper-divisor sum of 4,843,948, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 167^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,855,960
Proper Divisor Sum 4,843,948
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #3012007 ← → #3012017

Radix Representation

Decimal 3012012
Binary 1011011111010110101100 (22 bits)
Octal 0o13372654
Hexadecimal 0x2DF5AC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 27 36 54 108 167 334 501 668 1,002 1,503 2,004 3,006 4,509 6,012 9,018 18,036 27,889 55,778 83,667 111,556 167,334 251,001 334,668 502,002 753,003 1,004,004 1,506,006 3,012,012

Collatz Trajectory (164 steps to reach 1)

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

3,012,012 1,506,006 753,003 2,259,010 1,129,505 3,388,516 1,694,258 847,129 2,541,388 1,270,694 635,347 1,906,042 953,021 2,859,064 1,429,532 714,766 357,383 1,072,150 536,075 1,608,226 804,113 2,412,340 1,206,170 603,085 1,809,256 904,628 452,314 226,157 678,472 339,236 169,618 84,809 254,428 127,214 63,607 190,822 95,411 286,234 143,117 429,352 214,676 107,338 53,669 161,008 80,504 40,252 20,126 10,063 30,190 15,095 45,286 22,643 67,930 33,965 101,896 50,948 25,474 12,737 38,212 19,106

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,012,011 Browse Full Index Next Integer #3,012,013 →