λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,620,684
37,620,684
22 × 32 × 19 × 55001
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 19 × 55001
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 100,103,640
Proper Divisor Sum 62,482,956
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #37620679 ← → #37620689

Radix Representation

Decimal 37620684
Binary 10001111100000101111001100 (26 bits)
Octal 0o217405714
Hexadecimal 0x23E0BCC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 55,001 110,002 165,003 220,004 330,006 495,009 660,012 990,018 1,045,019 1,980,036 2,090,038 3,135,057 4,180,076 6,270,114 9,405,171 12,540,228 18,810,342 37,620,684

Collatz Trajectory (271 steps to reach 1)

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

37,620,684 18,810,342 9,405,171 28,215,514 14,107,757 42,323,272 21,161,636 10,580,818 5,290,409 15,871,228 7,935,614 3,967,807 11,903,422 5,951,711 17,855,134 8,927,567 26,782,702 13,391,351 40,174,054 20,087,027 60,261,082 30,130,541 90,391,624 45,195,812 22,597,906 11,298,953 33,896,860 16,948,430 8,474,215 25,422,646 12,711,323 38,133,970 19,066,985 57,200,956 28,600,478 14,300,239 42,900,718 21,450,359 64,351,078 32,175,539 96,526,618 48,263,309 144,789,928 72,394,964 36,197,482 18,098,741 54,296,224 27,148,112 13,574,056 6,787,028 3,393,514 1,696,757 5,090,272 2,545,136 1,272,568 636,284 318,142 159,071 477,214 238,607

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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