λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,137,967
6,137,967
3 × 112 × 37 × 457
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11^2 × 37 × 457
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,258,928
Proper Divisor Sum 3,120,961
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6137959 ← → #6137981

Radix Representation

Decimal 6137967
Binary 10111011010100001101111 (23 bits)
Octal 0o27324157
Hexadecimal 0x5DA86F

Divisor Catalog (24)

1 3 11 33 37 111 121 363 407 457 1,221 1,371 4,477 5,027 13,431 15,081 16,909 50,727 55,297 165,891 185,999 557,997 2,045,989 6,137,967

Collatz Trajectory (227 steps to reach 1)

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

6,137,967 18,413,902 9,206,951 27,620,854 13,810,427 41,431,282 20,715,641 62,146,924 31,073,462 15,536,731 46,610,194 23,305,097 69,915,292 34,957,646 17,478,823 52,436,470 26,218,235 78,654,706 39,327,353 117,982,060 58,991,030 29,495,515 88,486,546 44,243,273 132,729,820 66,364,910 33,182,455 99,547,366 49,773,683 149,321,050 74,660,525 223,981,576 111,990,788 55,995,394 27,997,697 83,993,092 41,996,546 20,998,273 62,994,820 31,497,410 15,748,705 47,246,116 23,623,058 11,811,529 35,434,588 17,717,294 8,858,647 26,575,942 13,287,971 39,863,914 19,931,957 59,795,872 29,897,936 14,948,968 7,474,484 3,737,242 1,868,621 5,605,864 2,802,932 1,401,466

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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