λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,131,895
6,131,895
3 × 5 × 7 × 11 × 5309
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 5309
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,234,240
Proper Divisor Sum 6,102,345
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6131891 ← → #6131911

Radix Representation

Decimal 6131895
Binary 10111011001000010110111 (23 bits)
Octal 0o27310267
Hexadecimal 0x5D90B7

Divisor Catalog (32)

1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1,155 5,309 15,927 26,545 37,163 58,399 79,635 111,489 175,197 185,815 291,995 408,793 557,445 875,985 1,226,379 2,043,965 6,131,895

Collatz Trajectory (227 steps to reach 1)

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

6,131,895 18,395,686 9,197,843 27,593,530 13,796,765 41,390,296 20,695,148 10,347,574 5,173,787 15,521,362 7,760,681 23,282,044 11,641,022 5,820,511 17,461,534 8,730,767 26,192,302 13,096,151 39,288,454 19,644,227 58,932,682 29,466,341 88,399,024 44,199,512 22,099,756 11,049,878 5,524,939 16,574,818 8,287,409 24,862,228 12,431,114 6,215,557 18,646,672 9,323,336 4,661,668 2,330,834 1,165,417 3,496,252 1,748,126 874,063 2,622,190 1,311,095 3,933,286 1,966,643 5,899,930 2,949,965 8,849,896 4,424,948 2,212,474 1,106,237 3,318,712 1,659,356 829,678 414,839 1,244,518 622,259 1,866,778 933,389 2,800,168 1,400,084

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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