λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,712,930
47,712,930
2 × 3 × 5 × 41 × 38791
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 41 × 38791
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 117,307,008
Proper Divisor Sum 69,594,078
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #47712913 ← → #47712941

Radix Representation

Decimal 47712930
Binary 10110110000000101010100010 (26 bits)
Octal 0o266005242
Hexadecimal 0x2D80AA2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1,230 38,791 77,582 116,373 193,955 232,746 387,910 581,865 1,163,730 1,590,431 3,180,862 4,771,293 7,952,155 9,542,586 15,904,310 23,856,465 47,712,930

Collatz Trajectory (230 steps to reach 1)

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

47,712,930 23,856,465 71,569,396 35,784,698 17,892,349 53,677,048 26,838,524 13,419,262 6,709,631 20,128,894 10,064,447 30,193,342 15,096,671 45,290,014 22,645,007 67,935,022 33,967,511 101,902,534 50,951,267 152,853,802 76,426,901 229,280,704 114,640,352 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 #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #47,712,929 Browse Full Index Next Integer #47,712,931 →