λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,038,175
6,038,175
3 × 52 × 11 × 13 × 563
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 13 × 563
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,749,248
Proper Divisor Sum 5,711,073
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6038173 ← → #6038191

Radix Representation

Decimal 6038175
Binary 10111000010001010011111 (23 bits)
Octal 0o27021237
Hexadecimal 0x5C229F

Divisor Catalog (48)

1 3 5 11 13 15 25 33 39 55 65 75 143 165 195 275 325 429 563 715 825 975 1,689 2,145 2,815 3,575 6,193 7,319 8,445 10,725 14,075 18,579 21,957 30,965 36,595 42,225 80,509 92,895 109,785 154,825 182,975 241,527 402,545 464,475 548,925 1,207,635 2,012,725 6,038,175

Collatz Trajectory (289 steps to reach 1)

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

6,038,175 18,114,526 9,057,263 27,171,790 13,585,895 40,757,686 20,378,843 61,136,530 30,568,265 91,704,796 45,852,398 22,926,199 68,778,598 34,389,299 103,167,898 51,583,949 154,751,848 77,375,924 38,687,962 19,343,981 58,031,944 29,015,972 14,507,986 7,253,993 21,761,980 10,880,990 5,440,495 16,321,486 8,160,743 24,482,230 12,241,115 36,723,346 18,361,673 55,085,020 27,542,510 13,771,255 41,313,766 20,656,883 61,970,650 30,985,325 92,955,976 46,477,988 23,238,994 11,619,497 34,858,492 17,429,246 8,714,623 26,143,870 13,071,935 39,215,806 19,607,903 58,823,710 29,411,855 88,235,566 44,117,783 132,353,350 66,176,675 198,530,026 99,265,013 297,795,040

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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