λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,465,615
12,465,615
3 × 5 × 19 × 191 × 229
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 19 × 191 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,196,800
Proper Divisor Sum 8,731,185
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #12465613 ← → #12465617

Radix Representation

Decimal 12465615
Binary 101111100011010111001111 (24 bits)
Octal 0o57432717
Hexadecimal 0xBE35CF

Divisor Catalog (32)

1 3 5 15 19 57 95 191 229 285 573 687 955 1,145 2,865 3,435 3,629 4,351 10,887 13,053 18,145 21,755 43,739 54,435 65,265 131,217 218,695 656,085 831,041 2,493,123 4,155,205 12,465,615

Collatz Trajectory (228 steps to reach 1)

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

12,465,615 37,396,846 18,698,423 56,095,270 28,047,635 84,142,906 42,071,453 126,214,360 63,107,180 31,553,590 15,776,795 47,330,386 23,665,193 70,995,580 35,497,790 17,748,895 53,246,686 26,623,343 79,870,030 39,935,015 119,805,046 59,902,523 179,707,570 89,853,785 269,561,356 134,780,678 67,390,339 202,171,018 101,085,509 303,256,528 151,628,264 75,814,132 37,907,066 18,953,533 56,860,600 28,430,300 14,215,150 7,107,575 21,322,726 10,661,363 31,984,090 15,992,045 47,976,136 23,988,068 11,994,034 5,997,017 17,991,052 8,995,526 4,497,763 13,493,290 6,746,645 20,239,936 10,119,968 5,059,984 2,529,992 1,264,996 632,498 316,249 948,748 474,374

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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