λ
Ratio Atlas
Atlas › Integer Profiles › Node 30,827,770
30,827,770
2 × 5 × 47 × 107 × 613
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 47 × 107 × 613
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 57,293,568
Proper Divisor Sum 26,465,798
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #30827767 ← → #30827773

Radix Representation

Decimal 30827770
Binary 1110101100110010011111010 (25 bits)
Octal 0o165462372
Hexadecimal 0x1D664FA

Divisor Catalog (32)

1 2 5 10 47 94 107 214 235 470 535 613 1,070 1,226 3,065 5,029 6,130 10,058 25,145 28,811 50,290 57,622 65,591 131,182 144,055 288,110 327,955 655,910 3,082,777 6,165,554 15,413,885 30,827,770

Collatz Trajectory (263 steps to reach 1)

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

30,827,770 15,413,885 46,241,656 23,120,828 11,560,414 5,780,207 17,340,622 8,670,311 26,010,934 13,005,467 39,016,402 19,508,201 58,524,604 29,262,302 14,631,151 43,893,454 21,946,727 65,840,182 32,920,091 98,760,274 49,380,137 148,140,412 74,070,206 37,035,103 111,105,310 55,552,655 166,657,966 83,328,983 249,986,950 124,993,475 374,980,426 187,490,213 562,470,640 281,235,320 140,617,660 70,308,830 35,154,415 105,463,246 52,731,623 158,194,870 79,097,435 237,292,306 118,646,153 355,938,460 177,969,230 88,984,615 266,953,846 133,476,923 400,430,770 200,215,385 600,646,156 300,323,078 150,161,539 450,484,618 225,242,309 675,726,928 337,863,464 168,931,732 84,465,866 42,232,933

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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