λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,961,982
1,961,982
2 × 35 × 11 × 367
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^5 × 11 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,822,272
Proper Divisor Sum 2,860,290
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1961963 ← → #1961983

Radix Representation

Decimal 1961982
Binary 111011110111111111110 (21 bits)
Octal 0o7367776
Hexadecimal 0x1DEFFE

Divisor Catalog (48)

1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 367 486 594 734 891 1,101 1,782 2,202 2,673 3,303 4,037 5,346 6,606 8,074 9,909 12,111 19,818 24,222 29,727 36,333 59,454 72,666 89,181 108,999 178,362 217,998 326,997 653,994 980,991 1,961,982

Collatz Trajectory (277 steps to reach 1)

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

1,961,982 980,991 2,942,974 1,471,487 4,414,462 2,207,231 6,621,694 3,310,847 9,932,542 4,966,271 14,898,814 7,449,407 22,348,222 11,174,111 33,522,334 16,761,167 50,283,502 25,141,751 75,425,254 37,712,627 113,137,882 56,568,941 169,706,824 84,853,412 42,426,706 21,213,353 63,640,060 31,820,030 15,910,015 47,730,046 23,865,023 71,595,070 35,797,535 107,392,606 53,696,303 161,088,910 80,544,455 241,633,366 120,816,683 362,450,050 181,225,025 543,675,076 271,837,538 135,918,769 407,756,308 203,878,154 101,939,077 305,817,232 152,908,616 76,454,308 38,227,154 19,113,577 57,340,732 28,670,366 14,335,183 43,005,550 21,502,775 64,508,326 32,254,163 96,762,490

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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