λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,196,012
2,196,012
22 × 3 × 7 × 13 × 2011
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13 × 2011
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,309,632
Proper Divisor Sum 4,113,620
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2196011 ← → #2196031

Radix Representation

Decimal 2196012
Binary 1000011000001000101100 (22 bits)
Octal 0o10301054
Hexadecimal 0x21822C

Divisor Catalog (48)

1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1,092 2,011 4,022 6,033 8,044 12,066 14,077 24,132 26,143 28,154 42,231 52,286 56,308 78,429 84,462 104,572 156,858 168,924 183,001 313,716 366,002 549,003 732,004 1,098,006 2,196,012

Collatz Trajectory (223 steps to reach 1)

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

2,196,012 1,098,006 549,003 1,647,010 823,505 2,470,516 1,235,258 617,629 1,852,888 926,444 463,222 231,611 694,834 347,417 1,042,252 521,126 260,563 781,690 390,845 1,172,536 586,268 293,134 146,567 439,702 219,851 659,554 329,777 989,332 494,666 247,333 742,000 371,000 185,500 92,750 46,375 139,126 69,563 208,690 104,345 313,036 156,518 78,259 234,778 117,389 352,168 176,084 88,042 44,021 132,064 66,032 33,016 16,508 8,254 4,127 12,382 6,191 18,574 9,287 27,862 13,931

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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