λ
Ratio Atlas
Atlas › Integer Profiles › Node 30,720,972
30,720,972
22 × 3 × 17 × 41 × 3673
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 41 × 3673
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 77,771,232
Proper Divisor Sum 47,050,260
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #30720961 ← → #30720979

Radix Representation

Decimal 30720972
Binary 1110101001100001111001100 (25 bits)
Octal 0o165141714
Hexadecimal 0x1D4C3CC

Divisor Catalog (48)

1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 1,394 2,091 2,788 3,673 4,182 7,346 8,364 11,019 14,692 22,038 44,076 62,441 124,882 150,593 187,323 249,764 301,186 374,646 451,779 602,372 749,292 903,558 1,807,116 2,560,081 5,120,162 7,680,243 10,240,324 15,360,486 30,720,972

Collatz Trajectory (206 steps to reach 1)

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

30,720,972 15,360,486 7,680,243 23,040,730 11,520,365 34,561,096 17,280,548 8,640,274 4,320,137 12,960,412 6,480,206 3,240,103 9,720,310 4,860,155 14,580,466 7,290,233 21,870,700 10,935,350 5,467,675 16,403,026 8,201,513 24,604,540 12,302,270 6,151,135 18,453,406 9,226,703 27,680,110 13,840,055 41,520,166 20,760,083 62,280,250 31,140,125 93,420,376 46,710,188 23,355,094 11,677,547 35,032,642 17,516,321 52,548,964 26,274,482 13,137,241 39,411,724 19,705,862 9,852,931 29,558,794 14,779,397 44,338,192 22,169,096 11,084,548 5,542,274 2,771,137 8,313,412 4,156,706 2,078,353 6,235,060 3,117,530 1,558,765 4,676,296 2,338,148 1,169,074

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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