λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,561,772
6,561,772
22 × 7 × 29 × 8081
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 29 × 8081
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,577,760
Proper Divisor Sum 7,015,988
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6561767 ← → #6561781

Radix Representation

Decimal 6561772
Binary 11001000001111111101100 (23 bits)
Octal 0o31017754
Hexadecimal 0x641FEC

Divisor Catalog (24)

1 2 4 7 14 28 29 58 116 203 406 812 8,081 16,162 32,324 56,567 113,134 226,268 234,349 468,698 937,396 1,640,443 3,280,886 6,561,772

Collatz Trajectory (170 steps to reach 1)

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

6,561,772 3,280,886 1,640,443 4,921,330 2,460,665 7,381,996 3,690,998 1,845,499 5,536,498 2,768,249 8,304,748 4,152,374 2,076,187 6,228,562 3,114,281 9,342,844 4,671,422 2,335,711 7,007,134 3,503,567 10,510,702 5,255,351 15,766,054 7,883,027 23,649,082 11,824,541 35,473,624 17,736,812 8,868,406 4,434,203 13,302,610 6,651,305 19,953,916 9,976,958 4,988,479 14,965,438 7,482,719 22,448,158 11,224,079 33,672,238 16,836,119 50,508,358 25,254,179 75,762,538 37,881,269 113,643,808 56,821,904 28,410,952 14,205,476 7,102,738 3,551,369 10,654,108 5,327,054 2,663,527 7,990,582 3,995,291 11,985,874 5,992,937 17,978,812 8,989,406

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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