λ
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4,122,012

22 × 3 × 19 × 101 × 179
Abundant Even Composite

4,122,012 factors as 2^2 × 3 × 19 × 101 × 179. Its 48 positive divisors give a proper-divisor sum of 6,159,588, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 101 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,281,600
Proper Divisor Sum 6,159,588
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #4121987 ← → #4122043

Radix Representation

Decimal 4122012
Binary 1111101110010110011100 (22 bits)
Octal 0o17562634
Hexadecimal 0x3EE59C

Divisor Catalog (48)

1 2 3 4 6 12 19 38 57 76 101 114 179 202 228 303 358 404 537 606 716 1,074 1,212 1,919 2,148 3,401 3,838 5,757 6,802 7,676 10,203 11,514 13,604 18,079 20,406 23,028 36,158 40,812 54,237 72,316 108,474 216,948 343,501 687,002 1,030,503 1,374,004 2,061,006 4,122,012

Collatz Trajectory (105 steps to reach 1)

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

4,122,012 2,061,006 1,030,503 3,091,510 1,545,755 4,637,266 2,318,633 6,955,900 3,477,950 1,738,975 5,216,926 2,608,463 7,825,390 3,912,695 11,738,086 5,869,043 17,607,130 8,803,565 26,410,696 13,205,348 6,602,674 3,301,337 9,904,012 4,952,006 2,476,003 7,428,010 3,714,005 11,142,016 5,571,008 2,785,504 1,392,752 696,376 348,188 174,094 87,047 261,142 130,571 391,714 195,857 587,572 293,786 146,893 440,680 220,340 110,170 55,085 165,256 82,628 41,314 20,657 61,972 30,986 15,493 46,480 23,240 11,620 5,810 2,905 8,716 4,358

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