λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,141,534
6,141,534
2 × 3 × 7 × 31 × 53 × 89
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 31 × 53 × 89
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 14,929,920
Proper Divisor Sum 8,788,386
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6141521 ← → #6141559

Radix Representation

Decimal 6141534
Binary 10111011011011001011110 (23 bits)
Octal 0o27333136
Hexadecimal 0x5DB65E

Divisor Catalog (60 of 64)

1 2 3 6 7 14 21 31 42 53 62 89 93 106 159 178 186 217 267 318 371 434 534 623 651 742 1,113 1,246 1,302 1,643 1,869 2,226 2,759 3,286 3,738 4,717 4,929 5,518 8,277 9,434 9,858 11,501 14,151 16,554 19,313 23,002 28,302 33,019 34,503 38,626 57,939 66,038 69,006 99,057 115,878 146,227 198,114 292,454 438,681 877,362

Collatz Trajectory (289 steps to reach 1)

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

6,141,534 3,070,767 9,212,302 4,606,151 13,818,454 6,909,227 20,727,682 10,363,841 31,091,524 15,545,762 7,772,881 23,318,644 11,659,322 5,829,661 17,488,984 8,744,492 4,372,246 2,186,123 6,558,370 3,279,185 9,837,556 4,918,778 2,459,389 7,378,168 3,689,084 1,844,542 922,271 2,766,814 1,383,407 4,150,222 2,075,111 6,225,334 3,112,667 9,338,002 4,669,001 14,007,004 7,003,502 3,501,751 10,505,254 5,252,627 15,757,882 7,878,941 23,636,824 11,818,412 5,909,206 2,954,603 8,863,810 4,431,905 13,295,716 6,647,858 3,323,929 9,971,788 4,985,894 2,492,947 7,478,842 3,739,421 11,218,264 5,609,132 2,804,566 1,402,283

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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