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Atlas › Integer Profiles › Node 2,168,012

2,168,012

22 × 7 × 11 × 7039
Abundant Even Composite

2,168,012 factors as 2^2 × 7 × 11 × 7039. Its 24 positive divisors give a proper-divisor sum of 2,562,868, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 7039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,730,880
Proper Divisor Sum 2,562,868
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2168009 ← → #2168021

Radix Representation

Decimal 2168012
Binary 1000010001010011001100 (22 bits)
Octal 0o10212314
Hexadecimal 0x2114CC

Divisor Catalog (24)

1 2 4 7 11 14 22 28 44 77 154 308 7,039 14,078 28,156 49,273 77,429 98,546 154,858 197,092 309,716 542,003 1,084,006 2,168,012

Collatz Trajectory (117 steps to reach 1)

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

2,168,012 1,084,006 542,003 1,626,010 813,005 2,439,016 1,219,508 609,754 304,877 914,632 457,316 228,658 114,329 342,988 171,494 85,747 257,242 128,621 385,864 192,932 96,466 48,233 144,700 72,350 36,175 108,526 54,263 162,790 81,395 244,186 122,093 366,280 183,140 91,570 45,785 137,356 68,678 34,339 103,018 51,509 154,528 77,264 38,632 19,316 9,658 4,829 14,488 7,244 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294

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