λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,311,930
61,311,930
2 × 3 × 5 × 131 × 15601
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 131 × 15601
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 148,281,408
Proper Divisor Sum 86,969,478
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #61311881 ← → #61311931

Radix Representation

Decimal 61311930
Binary 11101001111000101110111010 (26 bits)
Octal 0o351705672
Hexadecimal 0x3A78BBA

Divisor Catalog (32)

1 2 3 5 6 10 15 30 131 262 393 655 786 1,310 1,965 3,930 15,601 31,202 46,803 78,005 93,606 156,010 234,015 468,030 2,043,731 4,087,462 6,131,193 10,218,655 12,262,386 20,437,310 30,655,965 61,311,930

Collatz Trajectory (212 steps to reach 1)

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

61,311,930 30,655,965 91,967,896 45,983,948 22,991,974 11,495,987 34,487,962 17,243,981 51,731,944 25,865,972 12,932,986 6,466,493 19,399,480 9,699,740 4,849,870 2,424,935 7,274,806 3,637,403 10,912,210 5,456,105 16,368,316 8,184,158 4,092,079 12,276,238 6,138,119 18,414,358 9,207,179 27,621,538 13,810,769 41,432,308 20,716,154 10,358,077 31,074,232 15,537,116 7,768,558 3,884,279 11,652,838 5,826,419 17,479,258 8,739,629 26,218,888 13,109,444 6,554,722 3,277,361 9,832,084 4,916,042 2,458,021 7,374,064 3,687,032 1,843,516 921,758 460,879 1,382,638 691,319 2,073,958 1,036,979 3,110,938 1,555,469 4,666,408 2,333,204

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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