λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,667,523
1,667,523
3 × 11 × 133 × 23
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 13^3 × 23
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,741,760
Proper Divisor Sum 1,074,237
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1667509 ← → #1667537

Radix Representation

Decimal 1667523
Binary 110010111000111000011 (21 bits)
Octal 0o6270703
Hexadecimal 0x1971C3

Divisor Catalog (32)

1 3 11 13 23 33 39 69 143 169 253 299 429 507 759 897 1,859 2,197 3,289 3,887 5,577 6,591 9,867 11,661 24,167 42,757 50,531 72,501 128,271 151,593 555,841 1,667,523

Collatz Trajectory (282 steps to reach 1)

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

1,667,523 5,002,570 2,501,285 7,503,856 3,751,928 1,875,964 937,982 468,991 1,406,974 703,487 2,110,462 1,055,231 3,165,694 1,582,847 4,748,542 2,374,271 7,122,814 3,561,407 10,684,222 5,342,111 16,026,334 8,013,167 24,039,502 12,019,751 36,059,254 18,029,627 54,088,882 27,044,441 81,133,324 40,566,662 20,283,331 60,849,994 30,424,997 91,274,992 45,637,496 22,818,748 11,409,374 5,704,687 17,114,062 8,557,031 25,671,094 12,835,547 38,506,642 19,253,321 57,759,964 28,879,982 14,439,991 43,319,974 21,659,987 64,979,962 32,489,981 97,469,944 48,734,972 24,367,486 12,183,743 36,551,230 18,275,615 54,826,846 27,413,423 82,240,270

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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