λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,909,310
6,909,310
2 × 5 × 17 × 97 × 419
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 17 × 97 × 419
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,335,840
Proper Divisor Sum 6,426,530
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6909299 ← → #6909317

Radix Representation

Decimal 6909310
Binary 11010010110110101111110 (23 bits)
Octal 0o32266576
Hexadecimal 0x696D7E

Divisor Catalog (32)

1 2 5 10 17 34 85 97 170 194 419 485 838 970 1,649 2,095 3,298 4,190 7,123 8,245 14,246 16,490 35,615 40,643 71,230 81,286 203,215 406,430 690,931 1,381,862 3,454,655 6,909,310

Collatz Trajectory (284 steps to reach 1)

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

6,909,310 3,454,655 10,363,966 5,181,983 15,545,950 7,772,975 23,318,926 11,659,463 34,978,390 17,489,195 52,467,586 26,233,793 78,701,380 39,350,690 19,675,345 59,026,036 29,513,018 14,756,509 44,269,528 22,134,764 11,067,382 5,533,691 16,601,074 8,300,537 24,901,612 12,450,806 6,225,403 18,676,210 9,338,105 28,014,316 14,007,158 7,003,579 21,010,738 10,505,369 31,516,108 15,758,054 7,879,027 23,637,082 11,818,541 35,455,624 17,727,812 8,863,906 4,431,953 13,295,860 6,647,930 3,323,965 9,971,896 4,985,948 2,492,974 1,246,487 3,739,462 1,869,731 5,609,194 2,804,597 8,413,792 4,206,896 2,103,448 1,051,724 525,862 262,931

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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