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Ratio Atlas
Atlas › Integer Profiles › Node 981,981
981,981
32 × 7 × 11 × 13 × 109
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 13 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,921,920
Proper Divisor Sum 939,939
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #981979 ← → #981983

Radix Representation

Decimal 981981
Binary 11101111101111011101 (20 bits)
Octal 0o3575735
Hexadecimal 0xEFBDD

Divisor Catalog (48)

1 3 7 9 11 13 21 33 39 63 77 91 99 109 117 143 231 273 327 429 693 763 819 981 1,001 1,199 1,287 1,417 2,289 3,003 3,597 4,251 6,867 8,393 9,009 9,919 10,791 12,753 15,587 25,179 29,757 46,761 75,537 89,271 109,109 140,283 327,327 981,981

Collatz Trajectory (77 steps to reach 1)

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

981,981 2,945,944 1,472,972 736,486 368,243 1,104,730 552,365 1,657,096 828,548 414,274 207,137 621,412 310,706 155,353 466,060 233,030 116,515 349,546 174,773 524,320 262,160 131,080 65,540 32,770 16,385 49,156 24,578 12,289 36,868 18,434 9,217 27,652 13,826 6,913 20,740 10,370 5,185 15,556 7,778 3,889 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29

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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