λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,946,716
3,946,716
22 × 32 × 37 × 2963
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 37 × 2963
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,249,512
Proper Divisor Sum 6,302,796
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3946681 ← → #3946721

Radix Representation

Decimal 3946716
Binary 1111000011100011011100 (22 bits)
Octal 0o17034334
Hexadecimal 0x3C38DC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1,332 2,963 5,926 8,889 11,852 17,778 26,667 35,556 53,334 106,668 109,631 219,262 328,893 438,524 657,786 986,679 1,315,572 1,973,358 3,946,716

Collatz Trajectory (154 steps to reach 1)

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

3,946,716 1,973,358 986,679 2,960,038 1,480,019 4,440,058 2,220,029 6,660,088 3,330,044 1,665,022 832,511 2,497,534 1,248,767 3,746,302 1,873,151 5,619,454 2,809,727 8,429,182 4,214,591 12,643,774 6,321,887 18,965,662 9,482,831 28,448,494 14,224,247 42,672,742 21,336,371 64,009,114 32,004,557 96,013,672 48,006,836 24,003,418 12,001,709 36,005,128 18,002,564 9,001,282 4,500,641 13,501,924 6,750,962 3,375,481 10,126,444 5,063,222 2,531,611 7,594,834 3,797,417 11,392,252 5,696,126 2,848,063 8,544,190 4,272,095 12,816,286 6,408,143 19,224,430 9,612,215 28,836,646 14,418,323 43,254,970 21,627,485 64,882,456 32,441,228

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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