λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,106,962
12,106,962
2 × 33 × 7 × 32029
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 32029
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,748,800
Proper Divisor Sum 18,641,838
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #12106921 ← → #12106973

Radix Representation

Decimal 12106962
Binary 101110001011110011010010 (24 bits)
Octal 0o56136322
Hexadecimal 0xB8BCD2

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 32,029 64,058 96,087 192,174 224,203 288,261 448,406 576,522 672,609 864,783 1,345,218 1,729,566 2,017,827 4,035,654 6,053,481 12,106,962

Collatz Trajectory (197 steps to reach 1)

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

12,106,962 6,053,481 18,160,444 9,080,222 4,540,111 13,620,334 6,810,167 20,430,502 10,215,251 30,645,754 15,322,877 45,968,632 22,984,316 11,492,158 5,746,079 17,238,238 8,619,119 25,857,358 12,928,679 38,786,038 19,393,019 58,179,058 29,089,529 87,268,588 43,634,294 21,817,147 65,451,442 32,725,721 98,177,164 49,088,582 24,544,291 73,632,874 36,816,437 110,449,312 55,224,656 27,612,328 13,806,164 6,903,082 3,451,541 10,354,624 5,177,312 2,588,656 1,294,328 647,164 323,582 161,791 485,374 242,687 728,062 364,031 1,092,094 546,047 1,638,142 819,071 2,457,214 1,228,607 3,685,822 1,842,911 5,528,734 2,764,367

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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