λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,814,652
37,814,652
22 × 32 × 53 × 19819
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 53 × 19819
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 97,395,480
Proper Divisor Sum 59,580,828
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #37814639 ← → #37814653

Radix Representation

Decimal 37814652
Binary 10010000010000000101111100 (26 bits)
Octal 0o220200574
Hexadecimal 0x241017C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1,908 19,819 39,638 59,457 79,276 118,914 178,371 237,828 356,742 713,484 1,050,407 2,100,814 3,151,221 4,201,628 6,302,442 9,453,663 12,604,884 18,907,326 37,814,652

Collatz Trajectory (333 steps to reach 1)

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

37,814,652 18,907,326 9,453,663 28,360,990 14,180,495 42,541,486 21,270,743 63,812,230 31,906,115 95,718,346 47,859,173 143,577,520 71,788,760 35,894,380 17,947,190 8,973,595 26,920,786 13,460,393 40,381,180 20,190,590 10,095,295 30,285,886 15,142,943 45,428,830 22,714,415 68,143,246 34,071,623 102,214,870 51,107,435 153,322,306 76,661,153 229,983,460 114,991,730 57,495,865 172,487,596 86,243,798 43,121,899 129,365,698 64,682,849 194,048,548 97,024,274 48,512,137 145,536,412 72,768,206 36,384,103 109,152,310 54,576,155 163,728,466 81,864,233 245,592,700 122,796,350 61,398,175 184,194,526 92,097,263 276,291,790 138,145,895 414,437,686 207,218,843 621,656,530 310,828,265

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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