λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,809,532
7,809,532
22 × 19 × 211 × 487
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 19 × 211 × 487
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,483,840
Proper Divisor Sum 6,674,308
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7809517 ← → #7809533

Radix Representation

Decimal 7809532
Binary 11101110010100111111100 (23 bits)
Octal 0o35624774
Hexadecimal 0x7729FC

Divisor Catalog (24)

1 2 4 19 38 76 211 422 487 844 974 1,948 4,009 8,018 9,253 16,036 18,506 37,012 102,757 205,514 411,028 1,952,383 3,904,766 7,809,532

Collatz Trajectory (217 steps to reach 1)

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

7,809,532 3,904,766 1,952,383 5,857,150 2,928,575 8,785,726 4,392,863 13,178,590 6,589,295 19,767,886 9,883,943 29,651,830 14,825,915 44,477,746 22,238,873 66,716,620 33,358,310 16,679,155 50,037,466 25,018,733 75,056,200 37,528,100 18,764,050 9,382,025 28,146,076 14,073,038 7,036,519 21,109,558 10,554,779 31,664,338 15,832,169 47,496,508 23,748,254 11,874,127 35,622,382 17,811,191 53,433,574 26,716,787 80,150,362 40,075,181 120,225,544 60,112,772 30,056,386 15,028,193 45,084,580 22,542,290 11,271,145 33,813,436 16,906,718 8,453,359 25,360,078 12,680,039 38,040,118 19,020,059 57,060,178 28,530,089 85,590,268 42,795,134 21,397,567 64,192,702

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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