λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,934,764
36,934,764
22 × 3 × 31 × 43 × 2309
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 43 × 2309
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 91,069,440
Proper Divisor Sum 54,134,676
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36934763 ← → #36934801

Radix Representation

Decimal 36934764
Binary 10001100111001010001101100 (26 bits)
Octal 0o214712154
Hexadecimal 0x233946C

Divisor Catalog (48)

1 2 3 4 6 12 31 43 62 86 93 124 129 172 186 258 372 516 1,333 2,309 2,666 3,999 4,618 5,332 6,927 7,998 9,236 13,854 15,996 27,708 71,579 99,287 143,158 198,574 214,737 286,316 297,861 397,148 429,474 595,722 858,948 1,191,444 3,077,897 6,155,794 9,233,691 12,311,588 18,467,382 36,934,764

Collatz Trajectory (214 steps to reach 1)

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

36,934,764 18,467,382 9,233,691 27,701,074 13,850,537 41,551,612 20,775,806 10,387,903 31,163,710 15,581,855 46,745,566 23,372,783 70,118,350 35,059,175 105,177,526 52,588,763 157,766,290 78,883,145 236,649,436 118,324,718 59,162,359 177,487,078 88,743,539 266,230,618 133,115,309 399,345,928 199,672,964 99,836,482 49,918,241 149,754,724 74,877,362 37,438,681 112,316,044 56,158,022 28,079,011 84,237,034 42,118,517 126,355,552 63,177,776 31,588,888 15,794,444 7,897,222 3,948,611 11,845,834 5,922,917 17,768,752 8,884,376 4,442,188 2,221,094 1,110,547 3,331,642 1,665,821 4,997,464 2,498,732 1,249,366 624,683 1,874,050 937,025 2,811,076 1,405,538

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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