λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,712,912
47,712,912
24 × 3 × 13 × 76463
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 76463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 132,741,504
Proper Divisor Sum 85,028,592
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #47712893 ← → #47712913

Radix Representation

Decimal 47712912
Binary 10110110000000101010010000 (26 bits)
Octal 0o266005220
Hexadecimal 0x2D80A90

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 76,463 152,926 229,389 305,852 458,778 611,704 917,556 994,019 1,223,408 1,835,112 1,988,038 2,982,057 3,670,224 3,976,076 5,964,114 7,952,152 11,928,228 15,904,304 23,856,456 47,712,912

Collatz Trajectory (230 steps to reach 1)

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

47,712,912 23,856,456 11,928,228 5,964,114 2,982,057 8,946,172 4,473,086 2,236,543 6,709,630 3,354,815 10,064,446 5,032,223 15,096,670 7,548,335 22,645,006 11,322,503 33,967,510 16,983,755 50,951,266 25,475,633 76,426,900 38,213,450 19,106,725 57,320,176 28,660,088 14,330,044 7,165,022 3,582,511 10,747,534 5,373,767 16,121,302 8,060,651 24,181,954 12,090,977 36,272,932 18,136,466 9,068,233 27,204,700 13,602,350 6,801,175 20,403,526 10,201,763 30,605,290 15,302,645 45,907,936 22,953,968 11,476,984 5,738,492 2,869,246 1,434,623 4,303,870 2,151,935 6,455,806 3,227,903 9,683,710 4,841,855 14,525,566 7,262,783 21,788,350 10,894,175

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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