λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,379,772
61,379,772
22 × 3 × 67 × 76343
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 67 × 76343
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 145,358,976
Proper Divisor Sum 83,979,204
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #61379771 ← → #61379807

Radix Representation

Decimal 61379772
Binary 11101010001001010010111100 (26 bits)
Octal 0o352112274
Hexadecimal 0x3A894BC

Divisor Catalog (24)

1 2 3 4 6 12 67 134 201 268 402 804 76,343 152,686 229,029 305,372 458,058 916,116 5,114,981 10,229,962 15,344,943 20,459,924 30,689,886 61,379,772

Collatz Trajectory (251 steps to reach 1)

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

61,379,772 30,689,886 15,344,943 46,034,830 23,017,415 69,052,246 34,526,123 103,578,370 51,789,185 155,367,556 77,683,778 38,841,889 116,525,668 58,262,834 29,131,417 87,394,252 43,697,126 21,848,563 65,545,690 32,772,845 98,318,536 49,159,268 24,579,634 12,289,817 36,869,452 18,434,726 9,217,363 27,652,090 13,826,045 41,478,136 20,739,068 10,369,534 5,184,767 15,554,302 7,777,151 23,331,454 11,665,727 34,997,182 17,498,591 52,495,774 26,247,887 78,743,662 39,371,831 118,115,494 59,057,747 177,173,242 88,586,621 265,759,864 132,879,932 66,439,966 33,219,983 99,659,950 49,829,975 149,489,926 74,744,963 224,234,890 112,117,445 336,352,336 168,176,168 84,088,084

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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