λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,319,079
61,319,079
33 × 29 × 71 × 1103
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 29 × 71 × 1103
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 95,385,600
Proper Divisor Sum 34,066,521
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #61319077 ← → #61319087

Radix Representation

Decimal 61319079
Binary 11101001111010011110100111 (26 bits)
Octal 0o351723647
Hexadecimal 0x3A7A7A7

Divisor Catalog (32)

1 3 9 27 29 71 87 213 261 639 783 1,103 1,917 2,059 3,309 6,177 9,927 18,531 29,781 31,987 55,593 78,313 95,961 234,939 287,883 704,817 863,649 2,114,451 2,271,077 6,813,231 20,439,693 61,319,079

Collatz Trajectory (176 steps to reach 1)

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

61,319,079 183,957,238 91,978,619 275,935,858 137,967,929 413,903,788 206,951,894 103,475,947 310,427,842 155,213,921 465,641,764 232,820,882 116,410,441 349,231,324 174,615,662 87,307,831 261,923,494 130,961,747 392,885,242 196,442,621 589,327,864 294,663,932 147,331,966 73,665,983 220,997,950 110,498,975 331,496,926 165,748,463 497,245,390 248,622,695 745,868,086 372,934,043 1,118,802,130 559,401,065 1,678,203,196 839,101,598 419,550,799 1,258,652,398 629,326,199 1,887,978,598 943,989,299 2,831,967,898 1,415,983,949 4,247,951,848 2,123,975,924 1,061,987,962 530,993,981 1,592,981,944 796,490,972 398,245,486 199,122,743 597,368,230 298,684,115 896,052,346 448,026,173 1,344,078,520 672,039,260 336,019,630 168,009,815 504,029,446

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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