λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,752,275
1,752,275
52 × 7 × 17 × 19 × 31
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 7 × 17 × 19 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,856,960
Proper Divisor Sum 1,104,685
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1752271 ← → #1752307

Radix Representation

Decimal 1752275
Binary 110101011110011010011 (21 bits)
Octal 0o6536323
Hexadecimal 0x1ABCD3

Divisor Catalog (48)

1 5 7 17 19 25 31 35 85 95 119 133 155 175 217 323 425 475 527 589 595 665 775 1,085 1,615 2,261 2,635 2,945 2,975 3,325 3,689 4,123 5,425 8,075 10,013 11,305 13,175 14,725 18,445 20,615 50,065 56,525 70,091 92,225 103,075 250,325 350,455 1,752,275

Collatz Trajectory (233 steps to reach 1)

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

1,752,275 5,256,826 2,628,413 7,885,240 3,942,620 1,971,310 985,655 2,956,966 1,478,483 4,435,450 2,217,725 6,653,176 3,326,588 1,663,294 831,647 2,494,942 1,247,471 3,742,414 1,871,207 5,613,622 2,806,811 8,420,434 4,210,217 12,630,652 6,315,326 3,157,663 9,472,990 4,736,495 14,209,486 7,104,743 21,314,230 10,657,115 31,971,346 15,985,673 47,957,020 23,978,510 11,989,255 35,967,766 17,983,883 53,951,650 26,975,825 80,927,476 40,463,738 20,231,869 60,695,608 30,347,804 15,173,902 7,586,951 22,760,854 11,380,427 34,141,282 17,070,641 51,211,924 25,605,962 12,802,981 38,408,944 19,204,472 9,602,236 4,801,118 2,400,559

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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