λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,090,907
8,090,907
3 × 112 × 31 × 719
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11^2 × 31 × 719
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,257,280
Proper Divisor Sum 4,166,373
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8090897 ← → #8090911

Radix Representation

Decimal 8090907
Binary 11110110111010100011011 (23 bits)
Octal 0o36672433
Hexadecimal 0x7B751B

Divisor Catalog (24)

1 3 11 31 33 93 121 341 363 719 1,023 2,157 3,751 7,909 11,253 22,289 23,727 66,867 86,999 245,179 260,997 735,537 2,696,969 8,090,907

Collatz Trajectory (305 steps to reach 1)

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

8,090,907 24,272,722 12,136,361 36,409,084 18,204,542 9,102,271 27,306,814 13,653,407 40,960,222 20,480,111 61,440,334 30,720,167 92,160,502 46,080,251 138,240,754 69,120,377 207,361,132 103,680,566 51,840,283 155,520,850 77,760,425 233,281,276 116,640,638 58,320,319 174,960,958 87,480,479 262,441,438 131,220,719 393,662,158 196,831,079 590,493,238 295,246,619 885,739,858 442,869,929 1,328,609,788 664,304,894 332,152,447 996,457,342 498,228,671 1,494,686,014 747,343,007 2,242,029,022 1,121,014,511 3,363,043,534 1,681,521,767 5,044,565,302 2,522,282,651 7,566,847,954 3,783,423,977 11,350,271,932 5,675,135,966 2,837,567,983 8,512,703,950 4,256,351,975 12,769,055,926 6,384,527,963 19,153,583,890 9,576,791,945 28,730,375,836 14,365,187,918

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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