λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,968,982
36,968,982
2 × 3 × 17 × 293 × 1237
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 17 × 293 × 1237
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 78,617,952
Proper Divisor Sum 41,648,970
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #36968977 ← → #36968983

Radix Representation

Decimal 36968982
Binary 10001101000001101000010110 (26 bits)
Octal 0o215015026
Hexadecimal 0x2341A16

Divisor Catalog (32)

1 2 3 6 17 34 51 102 293 586 879 1,237 1,758 2,474 3,711 4,981 7,422 9,962 14,943 21,029 29,886 42,058 63,087 126,174 362,441 724,882 1,087,323 2,174,646 6,161,497 12,322,994 18,484,491 36,968,982

Collatz Trajectory (333 steps to reach 1)

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

36,968,982 18,484,491 55,453,474 27,726,737 83,180,212 41,590,106 20,795,053 62,385,160 31,192,580 15,596,290 7,798,145 23,394,436 11,697,218 5,848,609 17,545,828 8,772,914 4,386,457 13,159,372 6,579,686 3,289,843 9,869,530 4,934,765 14,804,296 7,402,148 3,701,074 1,850,537 5,551,612 2,775,806 1,387,903 4,163,710 2,081,855 6,245,566 3,122,783 9,368,350 4,684,175 14,052,526 7,026,263 21,078,790 10,539,395 31,618,186 15,809,093 47,427,280 23,713,640 11,856,820 5,928,410 2,964,205 8,892,616 4,446,308 2,223,154 1,111,577 3,334,732 1,667,366 833,683 2,501,050 1,250,525 3,751,576 1,875,788 937,894 468,947 1,406,842

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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