λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,101,220
37,101,220
22 × 5 × 13 × 142697
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 142697
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 83,906,424
Proper Divisor Sum 46,805,204
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #37101161 ← → #37101223

Radix Representation

Decimal 37101220
Binary 10001101100001111010100100 (26 bits)
Octal 0o215417244
Hexadecimal 0x2361EA4

Divisor Catalog (24)

1 2 4 5 10 13 20 26 52 65 130 260 142,697 285,394 570,788 713,485 1,426,970 1,855,061 2,853,940 3,710,122 7,420,244 9,275,305 18,550,610 37,101,220

Collatz Trajectory (258 steps to reach 1)

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

37,101,220 18,550,610 9,275,305 27,825,916 13,912,958 6,956,479 20,869,438 10,434,719 31,304,158 15,652,079 46,956,238 23,478,119 70,434,358 35,217,179 105,651,538 52,825,769 158,477,308 79,238,654 39,619,327 118,857,982 59,428,991 178,286,974 89,143,487 267,430,462 133,715,231 401,145,694 200,572,847 601,718,542 300,859,271 902,577,814 451,288,907 1,353,866,722 676,933,361 2,030,800,084 1,015,400,042 507,700,021 1,523,100,064 761,550,032 380,775,016 190,387,508 95,193,754 47,596,877 142,790,632 71,395,316 35,697,658 17,848,829 53,546,488 26,773,244 13,386,622 6,693,311 20,079,934 10,039,967 30,119,902 15,059,951 45,179,854 22,589,927 67,769,782 33,884,891 101,654,674 50,827,337

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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