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Atlas › Integer Profiles › Node 2,862,012

2,862,012

22 × 3 × 79 × 3019
Abundant Even Composite

2,862,012 factors as 2^2 × 3 × 79 × 3019. Its 24 positive divisors give a proper-divisor sum of 3,902,788, so this integer is abundant. The Collatz stopping time is 306 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 79 × 3019
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,764,800
Proper Divisor Sum 3,902,788
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2862011 ← → #2862017

Radix Representation

Decimal 2862012
Binary 1010111010101110111100 (22 bits)
Octal 0o12725674
Hexadecimal 0x2BABBC

Divisor Catalog (24)

1 2 3 4 6 12 79 158 237 316 474 948 3,019 6,038 9,057 12,076 18,114 36,228 238,501 477,002 715,503 954,004 1,431,006 2,862,012

Collatz Trajectory (306 steps to reach 1)

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

2,862,012 1,431,006 715,503 2,146,510 1,073,255 3,219,766 1,609,883 4,829,650 2,414,825 7,244,476 3,622,238 1,811,119 5,433,358 2,716,679 8,150,038 4,075,019 12,225,058 6,112,529 18,337,588 9,168,794 4,584,397 13,753,192 6,876,596 3,438,298 1,719,149 5,157,448 2,578,724 1,289,362 644,681 1,934,044 967,022 483,511 1,450,534 725,267 2,175,802 1,087,901 3,263,704 1,631,852 815,926 407,963 1,223,890 611,945 1,835,836 917,918 458,959 1,376,878 688,439 2,065,318 1,032,659 3,097,978 1,548,989 4,646,968 2,323,484 1,161,742 580,871 1,742,614 871,307 2,613,922 1,306,961 3,920,884

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