λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,909,630
36,909,630
2 × 32 × 5 × 67 × 6121
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 67 × 6121
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 97,413,264
Proper Divisor Sum 60,503,634
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36909619 ← → #36909659

Radix Representation

Decimal 36909630
Binary 10001100110011001000111110 (26 bits)
Octal 0o214631076
Hexadecimal 0x233323E

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1,005 1,206 2,010 3,015 6,030 6,121 12,242 18,363 30,605 36,726 55,089 61,210 91,815 110,178 183,630 275,445 410,107 550,890 820,214 1,230,321 2,050,535 2,460,642 3,690,963 4,101,070 6,151,605 7,381,926 12,303,210 18,454,815 36,909,630

Collatz Trajectory (121 steps to reach 1)

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

36,909,630 18,454,815 55,364,446 27,682,223 83,046,670 41,523,335 124,570,006 62,285,003 186,855,010 93,427,505 280,282,516 140,141,258 70,070,629 210,211,888 105,105,944 52,552,972 26,276,486 13,138,243 39,414,730 19,707,365 59,122,096 29,561,048 14,780,524 7,390,262 3,695,131 11,085,394 5,542,697 16,628,092 8,314,046 4,157,023 12,471,070 6,235,535 18,706,606 9,353,303 28,059,910 14,029,955 42,089,866 21,044,933 63,134,800 31,567,400 15,783,700 7,891,850 3,945,925 11,837,776 5,918,888 2,959,444 1,479,722 739,861 2,219,584 1,109,792 554,896 277,448 138,724 69,362 34,681 104,044 52,022 26,011 78,034 39,017

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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