λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,769,290
57,769,290
2 × 32 × 5 × 641881
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 641881
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 150,200,388
Proper Divisor Sum 92,431,098
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #57769289 ← → #57769333

Radix Representation

Decimal 57769290
Binary 11011100010111110101001010 (26 bits)
Octal 0o334276512
Hexadecimal 0x3717D4A

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 641,881 1,283,762 1,925,643 3,209,405 3,851,286 5,776,929 6,418,810 9,628,215 11,553,858 19,256,430 28,884,645 57,769,290

Collatz Trajectory (406 steps to reach 1)

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

57,769,290 28,884,645 86,653,936 43,326,968 21,663,484 10,831,742 5,415,871 16,247,614 8,123,807 24,371,422 12,185,711 36,557,134 18,278,567 54,835,702 27,417,851 82,253,554 41,126,777 123,380,332 61,690,166 30,845,083 92,535,250 46,267,625 138,802,876 69,401,438 34,700,719 104,102,158 52,051,079 156,153,238 78,076,619 234,229,858 117,114,929 351,344,788 175,672,394 87,836,197 263,508,592 131,754,296 65,877,148 32,938,574 16,469,287 49,407,862 24,703,931 74,111,794 37,055,897 111,167,692 55,583,846 27,791,923 83,375,770 41,687,885 125,063,656 62,531,828 31,265,914 15,632,957 46,898,872 23,449,436 11,724,718 5,862,359 17,587,078 8,793,539 26,380,618 13,190,309

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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