λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,322,697
31,322,697
3 × 7 × 19 × 29 × 2707
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 19 × 29 × 2707
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 51,993,600
Proper Divisor Sum 20,670,903
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #31322693 ← → #31322699

Radix Representation

Decimal 31322697
Binary 1110111011111001001001001 (25 bits)
Octal 0o167371111
Hexadecimal 0x1DDF249

Divisor Catalog (32)

1 3 7 19 21 29 57 87 133 203 399 551 609 1,653 2,707 3,857 8,121 11,571 18,949 51,433 56,847 78,503 154,299 235,509 360,031 549,521 1,080,093 1,491,557 1,648,563 4,474,671 10,440,899 31,322,697

Collatz Trajectory (175 steps to reach 1)

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

31,322,697 93,968,092 46,984,046 23,492,023 70,476,070 35,238,035 105,714,106 52,857,053 158,571,160 79,285,580 39,642,790 19,821,395 59,464,186 29,732,093 89,196,280 44,598,140 22,299,070 11,149,535 33,448,606 16,724,303 50,172,910 25,086,455 75,259,366 37,629,683 112,889,050 56,444,525 169,333,576 84,666,788 42,333,394 21,166,697 63,500,092 31,750,046 15,875,023 47,625,070 23,812,535 71,437,606 35,718,803 107,156,410 53,578,205 160,734,616 80,367,308 40,183,654 20,091,827 60,275,482 30,137,741 90,413,224 45,206,612 22,603,306 11,301,653 33,904,960 16,952,480 8,476,240 4,238,120 2,119,060 1,059,530 529,765 1,589,296 794,648 397,324 198,662

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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