λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,720,175
47,720,175
3 × 52 × 277 × 2297
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 277 × 2297
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 79,216,656
Proper Divisor Sum 31,496,481
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #47720171 ← → #47720219

Radix Representation

Decimal 47720175
Binary 10110110000010011011101111 (26 bits)
Octal 0o266023357
Hexadecimal 0x2D826EF

Divisor Catalog (24)

1 3 5 15 25 75 277 831 1,385 2,297 4,155 6,891 6,925 11,485 20,775 34,455 57,425 172,275 636,269 1,908,807 3,181,345 9,544,035 15,906,725 47,720,175

Collatz Trajectory (292 steps to reach 1)

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

47,720,175 143,160,526 71,580,263 214,740,790 107,370,395 322,111,186 161,055,593 483,166,780 241,583,390 120,791,695 362,375,086 181,187,543 543,562,630 271,781,315 815,343,946 407,671,973 1,223,015,920 611,507,960 305,753,980 152,876,990 76,438,495 229,315,486 114,657,743 343,973,230 171,986,615 515,959,846 257,979,923 773,939,770 386,969,885 1,160,909,656 580,454,828 290,227,414 145,113,707 435,341,122 217,670,561 653,011,684 326,505,842 163,252,921 489,758,764 244,879,382 122,439,691 367,319,074 183,659,537 550,978,612 275,489,306 137,744,653 413,233,960 206,616,980 103,308,490 51,654,245 154,962,736 77,481,368 38,740,684 19,370,342 9,685,171 29,055,514 14,527,757 43,583,272 21,791,636 10,895,818

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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