λ
Ratio Atlas
Atlas › Integer Profiles › Node 968,142
968,142
2 × 3 × 72 × 37 × 89
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 37 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,339,280
Proper Divisor Sum 1,371,138
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #968141 ← → #968147

Radix Representation

Decimal 968142
Binary 11101100010111001110 (20 bits)
Octal 0o3542716
Hexadecimal 0xEC5CE

Divisor Catalog (48)

1 2 3 6 7 14 21 37 42 49 74 89 98 111 147 178 222 259 267 294 518 534 623 777 1,246 1,554 1,813 1,869 3,293 3,626 3,738 4,361 5,439 6,586 8,722 9,879 10,878 13,083 19,758 23,051 26,166 46,102 69,153 138,306 161,357 322,714 484,071 968,142

Collatz Trajectory (227 steps to reach 1)

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

968,142 484,071 1,452,214 726,107 2,178,322 1,089,161 3,267,484 1,633,742 816,871 2,450,614 1,225,307 3,675,922 1,837,961 5,513,884 2,756,942 1,378,471 4,135,414 2,067,707 6,203,122 3,101,561 9,304,684 4,652,342 2,326,171 6,978,514 3,489,257 10,467,772 5,233,886 2,616,943 7,850,830 3,925,415 11,776,246 5,888,123 17,664,370 8,832,185 26,496,556 13,248,278 6,624,139 19,872,418 9,936,209 29,808,628 14,904,314 7,452,157 22,356,472 11,178,236 5,589,118 2,794,559 8,383,678 4,191,839 12,575,518 6,287,759 18,863,278 9,431,639 28,294,918 14,147,459 42,442,378 21,221,189 63,663,568 31,831,784 15,915,892 7,957,946

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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