λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,101,400
37,101,400
23 × 52 × 7 × 26501
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 26501
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 98,587,440
Proper Divisor Sum 61,486,040
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #37101397 ← → #37101401

Radix Representation

Decimal 37101400
Binary 10001101100001111101011000 (26 bits)
Octal 0o215417530
Hexadecimal 0x2361F58

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1,400 26,501 53,002 106,004 132,505 185,507 212,008 265,010 371,014 530,020 662,525 742,028 927,535 1,060,040 1,325,050 1,484,056 1,855,070 2,650,100 3,710,140 4,637,675 5,300,200 7,420,280 9,275,350 18,550,700 37,101,400

Collatz Trajectory (183 steps to reach 1)

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

37,101,400 18,550,700 9,275,350 4,637,675 13,913,026 6,956,513 20,869,540 10,434,770 5,217,385 15,652,156 7,826,078 3,913,039 11,739,118 5,869,559 17,608,678 8,804,339 26,413,018 13,206,509 39,619,528 19,809,764 9,904,882 4,952,441 14,857,324 7,428,662 3,714,331 11,142,994 5,571,497 16,714,492 8,357,246 4,178,623 12,535,870 6,267,935 18,803,806 9,401,903 28,205,710 14,102,855 42,308,566 21,154,283 63,462,850 31,731,425 95,194,276 47,597,138 23,798,569 71,395,708 35,697,854 17,848,927 53,546,782 26,773,391 80,320,174 40,160,087 120,480,262 60,240,131 180,720,394 90,360,197 271,080,592 135,540,296 67,770,148 33,885,074 16,942,537 50,827,612

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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