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Ratio Atlas
Atlas › Integer Profiles › Node 1,256,255
1,256,255
5 × 7 × 11 × 13 × 251
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 11 × 13 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,032,128
Proper Divisor Sum 775,873
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1256243 ← → #1256267

Radix Representation

Decimal 1256255
Binary 100110010101100111111 (21 bits)
Octal 0o4625477
Hexadecimal 0x132B3F

Divisor Catalog (32)

1 5 7 11 13 35 55 65 77 91 143 251 385 455 715 1,001 1,255 1,757 2,761 3,263 5,005 8,785 13,805 16,315 19,327 22,841 35,893 96,635 114,205 179,465 251,251 1,256,255

Collatz Trajectory (279 steps to reach 1)

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

1,256,255 3,768,766 1,884,383 5,653,150 2,826,575 8,479,726 4,239,863 12,719,590 6,359,795 19,079,386 9,539,693 28,619,080 14,309,540 7,154,770 3,577,385 10,732,156 5,366,078 2,683,039 8,049,118 4,024,559 12,073,678 6,036,839 18,110,518 9,055,259 27,165,778 13,582,889 40,748,668 20,374,334 10,187,167 30,561,502 15,280,751 45,842,254 22,921,127 68,763,382 34,381,691 103,145,074 51,572,537 154,717,612 77,358,806 38,679,403 116,038,210 58,019,105 174,057,316 87,028,658 43,514,329 130,542,988 65,271,494 32,635,747 97,907,242 48,953,621 146,860,864 73,430,432 36,715,216 18,357,608 9,178,804 4,589,402 2,294,701 6,884,104 3,442,052 1,721,026

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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