λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,397,014
48,397,014
2 × 34 × 23 × 31 × 419
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 23 × 31 × 419
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 117,089,280
Proper Divisor Sum 68,692,266
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #48397007 ← → #48397039

Radix Representation

Decimal 48397014
Binary 10111000100111101011010110 (26 bits)
Octal 0o270475326
Hexadecimal 0x2E27AD6

Divisor Catalog (60 of 80)

1 2 3 6 9 18 23 27 31 46 54 62 69 81 93 138 162 186 207 279 414 419 558 621 713 837 838 1,242 1,257 1,426 1,674 1,863 2,139 2,511 2,514 3,726 3,771 4,278 5,022 6,417 7,542 9,637 11,313 12,834 12,989 19,251 19,274 22,626 25,978 28,911 33,939 38,502 38,967 57,753 57,822 67,878 77,934 86,733 115,506 116,901

Collatz Trajectory (230 steps to reach 1)

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

48,397,014 24,198,507 72,595,522 36,297,761 108,893,284 54,446,642 27,223,321 81,669,964 40,834,982 20,417,491 61,252,474 30,626,237 91,878,712 45,939,356 22,969,678 11,484,839 34,454,518 17,227,259 51,681,778 25,840,889 77,522,668 38,761,334 19,380,667 58,142,002 29,071,001 87,213,004 43,606,502 21,803,251 65,409,754 32,704,877 98,114,632 49,057,316 24,528,658 12,264,329 36,792,988 18,396,494 9,198,247 27,594,742 13,797,371 41,392,114 20,696,057 62,088,172 31,044,086 15,522,043 46,566,130 23,283,065 69,849,196 34,924,598 17,462,299 52,386,898 26,193,449 78,580,348 39,290,174 19,645,087 58,935,262 29,467,631 88,402,894 44,201,447 132,604,342 66,302,171

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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