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Ratio Atlas
Atlas › Integer Profiles › Node 72,012,507
72,012,507
3 × 73 × 47 × 1489
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^3 × 47 × 1489
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 114,432,000
Proper Divisor Sum 42,419,493
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #72012503 ← → #72012511

Radix Representation

Decimal 72012507
Binary 100010010101101001011011011 (27 bits)
Octal 0o422551333
Hexadecimal 0x44AD2DB

Divisor Catalog (32)

1 3 7 21 47 49 141 147 329 343 987 1,029 1,489 2,303 4,467 6,909 10,423 16,121 31,269 48,363 69,983 72,961 209,949 218,883 489,881 510,727 1,469,643 1,532,181 3,429,167 10,287,501 24,004,169 72,012,507

Collatz Trajectory (114 steps to reach 1)

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

72,012,507 216,037,522 108,018,761 324,056,284 162,028,142 81,014,071 243,042,214 121,521,107 364,563,322 182,281,661 546,844,984 273,422,492 136,711,246 68,355,623 205,066,870 102,533,435 307,600,306 153,800,153 461,400,460 230,700,230 115,350,115 346,050,346 173,025,173 519,075,520 259,537,760 129,768,880 64,884,440 32,442,220 16,221,110 8,110,555 24,331,666 12,165,833 36,497,500 18,248,750 9,124,375 27,373,126 13,686,563 41,059,690 20,529,845 61,589,536 30,794,768 15,397,384 7,698,692 3,849,346 1,924,673 5,774,020 2,887,010 1,443,505 4,330,516 2,165,258 1,082,629 3,247,888 1,623,944 811,972 405,986 202,993 608,980 304,490 152,245 456,736

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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