λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,270,972
52,270,972
22 × 13 × 43 × 97 × 241
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 43 × 97 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 102,263,392
Proper Divisor Sum 49,992,420
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #52270969 ← → #52270979

Radix Representation

Decimal 52270972
Binary 11000111011001011101111100 (26 bits)
Octal 0o307313574
Hexadecimal 0x31D977C

Divisor Catalog (48)

1 2 4 13 26 43 52 86 97 172 194 241 388 482 559 964 1,118 1,261 2,236 2,522 3,133 4,171 5,044 6,266 8,342 10,363 12,532 16,684 20,726 23,377 41,452 46,754 54,223 93,508 108,446 134,719 216,892 269,438 303,901 538,876 607,802 1,005,211 1,215,604 2,010,422 4,020,844 13,067,743 26,135,486 52,270,972

Collatz Trajectory (119 steps to reach 1)

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

52,270,972 26,135,486 13,067,743 39,203,230 19,601,615 58,804,846 29,402,423 88,207,270 44,103,635 132,310,906 66,155,453 198,466,360 99,233,180 49,616,590 24,808,295 74,424,886 37,212,443 111,637,330 55,818,665 167,455,996 83,727,998 41,863,999 125,591,998 62,795,999 188,387,998 94,193,999 282,581,998 141,290,999 423,872,998 211,936,499 635,809,498 317,904,749 953,714,248 476,857,124 238,428,562 119,214,281 357,642,844 178,821,422 89,410,711 268,232,134 134,116,067 402,348,202 201,174,101 603,522,304 301,761,152 150,880,576 75,440,288 37,720,144 18,860,072 9,430,036 4,715,018 2,357,509 7,072,528 3,536,264 1,768,132 884,066 442,033 1,326,100 663,050 331,525

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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