λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,377,912
61,377,912
23 × 35 × 31573
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^5 × 31573
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 172,394,040
Proper Divisor Sum 111,016,128
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #61377893 ← → #61377917

Radix Representation

Decimal 61377912
Binary 11101010001000110101111000 (26 bits)
Octal 0o352106570
Hexadecimal 0x3A88D78

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1,944 31,573 63,146 94,719 126,292 189,438 252,584 284,157 378,876 568,314 757,752 852,471 1,136,628 1,704,942 2,273,256 2,557,413 3,409,884 5,114,826 6,819,768 7,672,239 10,229,652 15,344,478 20,459,304 30,688,956 61,377,912

Collatz Trajectory (326 steps to reach 1)

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

61,377,912 30,688,956 15,344,478 7,672,239 23,016,718 11,508,359 34,525,078 17,262,539 51,787,618 25,893,809 77,681,428 38,840,714 19,420,357 58,261,072 29,130,536 14,565,268 7,282,634 3,641,317 10,923,952 5,461,976 2,730,988 1,365,494 682,747 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 #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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