λ
Ratio Atlas
Atlas › Integer Profiles › Node 49,335,136
49,335,136
25 × 31 × 41 × 1213
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 31 × 41 × 1213
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 102,791,808
Proper Divisor Sum 53,456,672
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #49335133 ← → #49335137

Radix Representation

Decimal 49335136
Binary 10111100001100101101100000 (26 bits)
Octal 0o274145540
Hexadecimal 0x2F0CB60

Divisor Catalog (48)

1 2 4 8 16 31 32 41 62 82 124 164 248 328 496 656 992 1,213 1,271 1,312 2,426 2,542 4,852 5,084 9,704 10,168 19,408 20,336 37,603 38,816 40,672 49,733 75,206 99,466 150,412 198,932 300,824 397,864 601,648 795,728 1,203,296 1,541,723 1,591,456 3,083,446 6,166,892 12,333,784 24,667,568 49,335,136

Collatz Trajectory (191 steps to reach 1)

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

49,335,136 24,667,568 12,333,784 6,166,892 3,083,446 1,541,723 4,625,170 2,312,585 6,937,756 3,468,878 1,734,439 5,203,318 2,601,659 7,804,978 3,902,489 11,707,468 5,853,734 2,926,867 8,780,602 4,390,301 13,170,904 6,585,452 3,292,726 1,646,363 4,939,090 2,469,545 7,408,636 3,704,318 1,852,159 5,556,478 2,778,239 8,334,718 4,167,359 12,502,078 6,251,039 18,753,118 9,376,559 28,129,678 14,064,839 42,194,518 21,097,259 63,291,778 31,645,889 94,937,668 47,468,834 23,734,417 71,203,252 35,601,626 17,800,813 53,402,440 26,701,220 13,350,610 6,675,305 20,025,916 10,012,958 5,006,479 15,019,438 7,509,719 22,529,158 11,264,579

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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