λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,721,986
6,721,986
2 × 3 × 73 × 103 × 149
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 73 × 103 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,852,800
Proper Divisor Sum 7,130,814
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6721973 ← → #6721993

Radix Representation

Decimal 6721986
Binary 11001101001000111000010 (23 bits)
Octal 0o31510702
Hexadecimal 0x6691C2

Divisor Catalog (32)

1 2 3 6 73 103 146 149 206 219 298 309 438 447 618 894 7,519 10,877 15,038 15,347 21,754 22,557 30,694 32,631 45,114 46,041 65,262 92,082 1,120,331 2,240,662 3,360,993 6,721,986

Collatz Trajectory (147 steps to reach 1)

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

6,721,986 3,360,993 10,082,980 5,041,490 2,520,745 7,562,236 3,781,118 1,890,559 5,671,678 2,835,839 8,507,518 4,253,759 12,761,278 6,380,639 19,141,918 9,570,959 28,712,878 14,356,439 43,069,318 21,534,659 64,603,978 32,301,989 96,905,968 48,452,984 24,226,492 12,113,246 6,056,623 18,169,870 9,084,935 27,254,806 13,627,403 40,882,210 20,441,105 61,323,316 30,661,658 15,330,829 45,992,488 22,996,244 11,498,122 5,749,061 17,247,184 8,623,592 4,311,796 2,155,898 1,077,949 3,233,848 1,616,924 808,462 404,231 1,212,694 606,347 1,819,042 909,521 2,728,564 1,364,282 682,141 2,046,424 1,023,212 511,606 255,803

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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