λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,136,100
6,136,100
22 × 52 × 43 × 1427
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 43 × 1427
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,634,544
Proper Divisor Sum 7,498,444
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #6136087 ← → #6136111

Radix Representation

Decimal 6136100
Binary 10111011010000100100100 (23 bits)
Octal 0o27320444
Hexadecimal 0x5DA124

Divisor Catalog (36)

1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1,075 1,427 2,150 2,854 4,300 5,708 7,135 14,270 28,540 35,675 61,361 71,350 122,722 142,700 245,444 306,805 613,610 1,227,220 1,534,025 3,068,050 6,136,100

Collatz Trajectory (152 steps to reach 1)

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

6,136,100 3,068,050 1,534,025 4,602,076 2,301,038 1,150,519 3,451,558 1,725,779 5,177,338 2,588,669 7,766,008 3,883,004 1,941,502 970,751 2,912,254 1,456,127 4,368,382 2,184,191 6,552,574 3,276,287 9,828,862 4,914,431 14,743,294 7,371,647 22,114,942 11,057,471 33,172,414 16,586,207 49,758,622 24,879,311 74,637,934 37,318,967 111,956,902 55,978,451 167,935,354 83,967,677 251,903,032 125,951,516 62,975,758 31,487,879 94,463,638 47,231,819 141,695,458 70,847,729 212,543,188 106,271,594 53,135,797 159,407,392 79,703,696 39,851,848 19,925,924 9,962,962 4,981,481 14,944,444 7,472,222 3,736,111 11,208,334 5,604,167 16,812,502 8,406,251

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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