λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,377,939
61,377,939
33 × 72 × 17 × 2729
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7^2 × 17 × 2729
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 112,039,200
Proper Divisor Sum 50,661,261
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #61377917 ← → #61377941

Radix Representation

Decimal 61377939
Binary 11101010001000110110010011 (26 bits)
Octal 0o352106623
Hexadecimal 0x3A88D93

Divisor Catalog (48)

1 3 7 9 17 21 27 49 51 63 119 147 153 189 357 441 459 833 1,071 1,323 2,499 2,729 3,213 7,497 8,187 19,103 22,491 24,561 46,393 57,309 73,683 133,721 139,179 171,927 324,751 401,163 417,537 515,781 974,253 1,203,489 1,252,611 2,273,257 2,922,759 3,610,467 6,819,771 8,768,277 20,459,313 61,377,939

Collatz Trajectory (326 steps to reach 1)

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

61,377,939 184,133,818 92,066,909 276,200,728 138,100,364 69,050,182 34,525,091 103,575,274 51,787,637 155,362,912 77,681,456 38,840,728 19,420,364 9,710,182 4,855,091 14,565,274 7,282,637 21,847,912 10,923,956 5,461,978 2,730,989 8,192,968 4,096,484 2,048,242 1,024,121 3,072,364 1,536,182 768,091 2,304,274 1,152,137 3,456,412 1,728,206 864,103 2,592,310 1,296,155 3,888,466 1,944,233 5,832,700 2,916,350 1,458,175 4,374,526 2,187,263 6,561,790 3,280,895 9,842,686 4,921,343 14,764,030 7,382,015 22,146,046 11,073,023 33,219,070 16,609,535 49,828,606 24,914,303 74,742,910 37,371,455 112,114,366 56,057,183 168,171,550 84,085,775

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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